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Finding the Fourth Proportional to 721.60, 1,082.07 and 356.24

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Solution

The fourth proportional to 721.60, 1,082.07 and 356.24 is: 534.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    721.60 : 1,082.07 = 356.24 : x
  2. Step 2: Convert to fraction form
    721.60/1,082.07 = 356.24/x
  3. Step 3: Cross multiply
    721.60x = 1,082.07 × 356.24
  4. Step 4: Simplify right side
    721.60x = 385,479.32
  5. Step 5: Solve for x
    x = 385,479.32/721.60
  6. Step 6: Final answer
    x = 534.20

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.