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Finding the Fourth Proportional to 824.55, 1,137.96 and 529.71

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Solution

The fourth proportional to 824.55, 1,137.96 and 529.71 is: 731.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    824.55 : 1,137.96 = 529.71 : x
  2. Step 2: Convert to fraction form
    824.55/1,137.96 = 529.71/x
  3. Step 3: Cross multiply
    824.55x = 1,137.96 × 529.71
  4. Step 4: Simplify right side
    824.55x = 602,788.79
  5. Step 5: Solve for x
    x = 602,788.79/824.55
  6. Step 6: Final answer
    x = 731.05

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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.