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Finding the Fourth Proportional to 925.65, 1,277.03 and 594.02

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Solution

The fourth proportional to 925.65, 1,277.03 and 594.02 is: 819.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    925.65 : 1,277.03 = 594.02 : x
  2. Step 2: Convert to fraction form
    925.65/1,277.03 = 594.02/x
  3. Step 3: Cross multiply
    925.65x = 1,277.03 × 594.02
  4. Step 4: Simplify right side
    925.65x = 758,586.04
  5. Step 5: Solve for x
    x = 758,586.04/925.65
  6. Step 6: Final answer
    x = 819.52

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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.