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Finding the Fourth Proportional to 924.78, 1,276.47 and 532.08

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Solution

The fourth proportional to 924.78, 1,276.47 and 532.08 is: 734.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    924.78 : 1,276.47 = 532.08 : x
  2. Step 2: Convert to fraction form
    924.78/1,276.47 = 532.08/x
  3. Step 3: Cross multiply
    924.78x = 1,276.47 × 532.08
  4. Step 4: Simplify right side
    924.78x = 679,184.16
  5. Step 5: Solve for x
    x = 679,184.16/924.78
  6. Step 6: Final answer
    x = 734.43

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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.