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Finding the Fourth Proportional to 612.76, 844.14 and 514.48

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Solution

The fourth proportional to 612.76, 844.14 and 514.48 is: 708.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.76 : 844.14 = 514.48 : x
  2. Step 2: Convert to fraction form
    612.76/844.14 = 514.48/x
  3. Step 3: Cross multiply
    612.76x = 844.14 × 514.48
  4. Step 4: Simplify right side
    612.76x = 434,293.15
  5. Step 5: Solve for x
    x = 434,293.15/612.76
  6. Step 6: Final answer
    x = 708.75

Related Problems

Find fourth proportional to 306.38, 422.07 and 257.24
Half scale
Find fourth proportional to 1,225.52, 1,688.28 and 1,028.96
Double scale
Find fourth proportional to 613.76, 845.52 and 515.48
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.