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Finding the Fourth Proportional to 924.72, 1,385.64 and 582

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Solution

The fourth proportional to 924.72, 1,385.64 and 582 is: 872.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    924.72 : 1,385.64 = 582 : x
  2. Step 2: Convert to fraction form
    924.72/1,385.64 = 582/x
  3. Step 3: Cross multiply
    924.72x = 1,385.64 × 582
  4. Step 4: Simplify right side
    924.72x = 806,442.48
  5. Step 5: Solve for x
    x = 806,442.48/924.72
  6. Step 6: Final answer
    x = 872.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.