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Finding the Fourth Proportional to 730.17, 1,008.06 and 509.04

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Solution

The fourth proportional to 730.17, 1,008.06 and 509.04 is: 702.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.17 : 1,008.06 = 509.04 : x
  2. Step 2: Convert to fraction form
    730.17/1,008.06 = 509.04/x
  3. Step 3: Cross multiply
    730.17x = 1,008.06 × 509.04
  4. Step 4: Simplify right side
    730.17x = 513,142.86
  5. Step 5: Solve for x
    x = 513,142.86/730.17
  6. Step 6: Final answer
    x = 702.77

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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.