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Finding the Fourth Proportional to 721.42, 1,082.52 and 478.06

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Solution

The fourth proportional to 721.42, 1,082.52 and 478.06 is: 717.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    721.42 : 1,082.52 = 478.06 : x
  2. Step 2: Convert to fraction form
    721.42/1,082.52 = 478.06/x
  3. Step 3: Cross multiply
    721.42x = 1,082.52 × 478.06
  4. Step 4: Simplify right side
    721.42x = 517,509.51
  5. Step 5: Solve for x
    x = 517,509.51/721.42
  6. Step 6: Final answer
    x = 717.35

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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.