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Finding the Fourth Proportional to 730.27, 1,007.40 and 509.55

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Solution

The fourth proportional to 730.27, 1,007.40 and 509.55 is: 702.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.27 : 1,007.40 = 509.55 : x
  2. Step 2: Convert to fraction form
    730.27/1,007.40 = 509.55/x
  3. Step 3: Cross multiply
    730.27x = 1,007.40 × 509.55
  4. Step 4: Simplify right side
    730.27x = 513,320.67
  5. Step 5: Solve for x
    x = 513,320.67/730.27
  6. Step 6: Final answer
    x = 702.92

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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.