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Finding the Fourth Proportional to 924.18, 1,274.04 and 592.35

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Solution

The fourth proportional to 924.18, 1,274.04 and 592.35 is: 816.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    924.18 : 1,274.04 = 592.35 : x
  2. Step 2: Convert to fraction form
    924.18/1,274.04 = 592.35/x
  3. Step 3: Cross multiply
    924.18x = 1,274.04 × 592.35
  4. Step 4: Simplify right side
    924.18x = 754,677.59
  5. Step 5: Solve for x
    x = 754,677.59/924.18
  6. Step 6: Final answer
    x = 816.59

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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.