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Finding the Fourth Proportional to 924.61, 1,276.08 and 592.92

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Solution

The fourth proportional to 924.61, 1,276.08 and 592.92 is: 818.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    924.61 : 1,276.08 = 592.92 : x
  2. Step 2: Convert to fraction form
    924.61/1,276.08 = 592.92/x
  3. Step 3: Cross multiply
    924.61x = 1,276.08 × 592.92
  4. Step 4: Simplify right side
    924.61x = 756,606.34
  5. Step 5: Solve for x
    x = 756,606.34/924.61
  6. Step 6: Final answer
    x = 818.30

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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.