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Finding the Fourth Proportional to 823.96, 1,137.68 and 529.39

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Solution

The fourth proportional to 823.96, 1,137.68 and 529.39 is: 730.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.96 : 1,137.68 = 529.39 : x
  2. Step 2: Convert to fraction form
    823.96/1,137.68 = 529.39/x
  3. Step 3: Cross multiply
    823.96x = 1,137.68 × 529.39
  4. Step 4: Simplify right side
    823.96x = 602,276.42
  5. Step 5: Solve for x
    x = 602,276.42/823.96
  6. Step 6: Final answer
    x = 730.95

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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.