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Finding the Fourth Proportional to 924.15, 1,274.82 and 592.20

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Solution

The fourth proportional to 924.15, 1,274.82 and 592.20 is: 816.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    924.15 : 1,274.82 = 592.20 : x
  2. Step 2: Convert to fraction form
    924.15/1,274.82 = 592.20/x
  3. Step 3: Cross multiply
    924.15x = 1,274.82 × 592.20
  4. Step 4: Simplify right side
    924.15x = 754,948.40
  5. Step 5: Solve for x
    x = 754,948.40/924.15
  6. Step 6: Final answer
    x = 816.91

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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.