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Finding the Fourth Proportional to 730.04, 1,006.90 and 509.31

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Solution

The fourth proportional to 730.04, 1,006.90 and 509.31 is: 702.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.04 : 1,006.90 = 509.31 : x
  2. Step 2: Convert to fraction form
    730.04/1,006.90 = 509.31/x
  3. Step 3: Cross multiply
    730.04x = 1,006.90 × 509.31
  4. Step 4: Simplify right side
    730.04x = 512,822.97
  5. Step 5: Solve for x
    x = 512,822.97/730.04
  6. Step 6: Final answer
    x = 702.46

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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.