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Finding the Fourth Proportional to 720.24, 1,079.54 and 355.28

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Solution

The fourth proportional to 720.24, 1,079.54 and 355.28 is: 532.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    720.24 : 1,079.54 = 355.28 : x
  2. Step 2: Convert to fraction form
    720.24/1,079.54 = 355.28/x
  3. Step 3: Cross multiply
    720.24x = 1,079.54 × 355.28
  4. Step 4: Simplify right side
    720.24x = 383,537.19
  5. Step 5: Solve for x
    x = 383,537.19/720.24
  6. Step 6: Final answer
    x = 532.52

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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.