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Finding the Fourth Proportional to 720.10, 1,079.43 and 355.15

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Solution

The fourth proportional to 720.10, 1,079.43 and 355.15 is: 532.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    720.10 : 1,079.43 = 355.15 : x
  2. Step 2: Convert to fraction form
    720.10/1,079.43 = 355.15/x
  3. Step 3: Cross multiply
    720.10x = 1,079.43 × 355.15
  4. Step 4: Simplify right side
    720.10x = 383,359.56
  5. Step 5: Solve for x
    x = 383,359.56/720.10
  6. Step 6: Final answer
    x = 532.37

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