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Finding the Fourth Proportional to 819.52, 1,130.43 and 509.02

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Solution

The fourth proportional to 819.52, 1,130.43 and 509.02 is: 702.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    819.52 : 1,130.43 = 509.02 : x
  2. Step 2: Convert to fraction form
    819.52/1,130.43 = 509.02/x
  3. Step 3: Cross multiply
    819.52x = 1,130.43 × 509.02
  4. Step 4: Simplify right side
    819.52x = 575,411.48
  5. Step 5: Solve for x
    x = 575,411.48/819.52
  6. Step 6: Final answer
    x = 702.13

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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.