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Finding the Fourth Proportional to 924.31, 1,275.78 and 592.84

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Solution

The fourth proportional to 924.31, 1,275.78 and 592.84 is: 818.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    924.31 : 1,275.78 = 592.84 : x
  2. Step 2: Convert to fraction form
    924.31/1,275.78 = 592.84/x
  3. Step 3: Cross multiply
    924.31x = 1,275.78 × 592.84
  4. Step 4: Simplify right side
    924.31x = 756,333.42
  5. Step 5: Solve for x
    x = 756,333.42/924.31
  6. Step 6: Final answer
    x = 818.27

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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.