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Finding the Fourth Proportional to 819.59, 1,130.96 and 524.81

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Solution

The fourth proportional to 819.59, 1,130.96 and 524.81 is: 724.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    819.59 : 1,130.96 = 524.81 : x
  2. Step 2: Convert to fraction form
    819.59/1,130.96 = 524.81/x
  3. Step 3: Cross multiply
    819.59x = 1,130.96 × 524.81
  4. Step 4: Simplify right side
    819.59x = 593,543.26
  5. Step 5: Solve for x
    x = 593,543.26/819.59
  6. Step 6: Final answer
    x = 724.20

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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.