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Finding the Fourth Proportional to 924.43, 1,274.34 and 592.78

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Solution

The fourth proportional to 924.43, 1,274.34 and 592.78 is: 817.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    924.43 : 1,274.34 = 592.78 : x
  2. Step 2: Convert to fraction form
    924.43/1,274.34 = 592.78/x
  3. Step 3: Cross multiply
    924.43x = 1,274.34 × 592.78
  4. Step 4: Simplify right side
    924.43x = 755,403.27
  5. Step 5: Solve for x
    x = 755,403.27/924.43
  6. Step 6: Final answer
    x = 817.16

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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.