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Finding the Fourth Proportional to 730.13, 1,007.57 and 468.20

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Solution

The fourth proportional to 730.13, 1,007.57 and 468.20 is: 646.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.13 : 1,007.57 = 468.20 : x
  2. Step 2: Convert to fraction form
    730.13/1,007.57 = 468.20/x
  3. Step 3: Cross multiply
    730.13x = 1,007.57 × 468.20
  4. Step 4: Simplify right side
    730.13x = 471,740.41
  5. Step 5: Solve for x
    x = 471,740.41/730.13
  6. Step 6: Final answer
    x = 646.11

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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.