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Finding the Fourth Proportional to 730.08, 1,007.10 and 509.22

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Solution

The fourth proportional to 730.08, 1,007.10 and 509.22 is: 702.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.08 : 1,007.10 = 509.22 : x
  2. Step 2: Convert to fraction form
    730.08/1,007.10 = 509.22/x
  3. Step 3: Cross multiply
    730.08x = 1,007.10 × 509.22
  4. Step 4: Simplify right side
    730.08x = 512,835.46
  5. Step 5: Solve for x
    x = 512,835.46/730.08
  6. Step 6: Final answer
    x = 702.44

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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.