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Finding the Fourth Proportional to 712.76, 983.04 and 491.66

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Solution

The fourth proportional to 712.76, 983.04 and 491.66 is: 678.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.76 : 983.04 = 491.66 : x
  2. Step 2: Convert to fraction form
    712.76/983.04 = 491.66/x
  3. Step 3: Cross multiply
    712.76x = 983.04 × 491.66
  4. Step 4: Simplify right side
    712.76x = 483,321.45
  5. Step 5: Solve for x
    x = 483,321.45/712.76
  6. Step 6: Final answer
    x = 678.10

Related Problems

Find fourth proportional to 356.38, 491.52 and 245.83
Half scale
Find fourth proportional to 1,425.52, 1,966.08 and 983.32
Double scale
Find fourth proportional to 713.76, 984.42 and 492.66
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.