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Finding the Fourth Proportional to 924.17, 1,274.63 and 592.63

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Solution

The fourth proportional to 924.17, 1,274.63 and 592.63 is: 817.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    924.17 : 1,274.63 = 592.63 : x
  2. Step 2: Convert to fraction form
    924.17/1,274.63 = 592.63/x
  3. Step 3: Cross multiply
    924.17x = 1,274.63 × 592.63
  4. Step 4: Simplify right side
    924.17x = 755,377.83
  5. Step 5: Solve for x
    x = 755,377.83/924.17
  6. Step 6: Final answer
    x = 817.36

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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.