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Finding the Fourth Proportional to 824.07, 1,137.35 and 529.65

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Solution

The fourth proportional to 824.07, 1,137.35 and 529.65 is: 731.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    824.07 : 1,137.35 = 529.65 : x
  2. Step 2: Convert to fraction form
    824.07/1,137.35 = 529.65/x
  3. Step 3: Cross multiply
    824.07x = 1,137.35 × 529.65
  4. Step 4: Simplify right side
    824.07x = 602,394.78
  5. Step 5: Solve for x
    x = 602,394.78/824.07
  6. Step 6: Final answer
    x = 731.00

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.