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Finding the Fourth Proportional to 770.76, 1,063.67 and 439.24

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Solution

The fourth proportional to 770.76, 1,063.67 and 439.24 is: 606.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.76 : 1,063.67 = 439.24 : x
  2. Step 2: Convert to fraction form
    770.76/1,063.67 = 439.24/x
  3. Step 3: Cross multiply
    770.76x = 1,063.67 × 439.24
  4. Step 4: Simplify right side
    770.76x = 467,202.19
  5. Step 5: Solve for x
    x = 467,202.19/770.76
  6. Step 6: Final answer
    x = 606.16

Related Problems

Find fourth proportional to 385.38, 531.84 and 219.62
Half scale
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Double scale
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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.