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Finding the Fourth Proportional to 925.92, 1,387.51 and 514.49

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Solution

The fourth proportional to 925.92, 1,387.51 and 514.49 is: 770.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    925.92 : 1,387.51 = 514.49 : x
  2. Step 2: Convert to fraction form
    925.92/1,387.51 = 514.49/x
  3. Step 3: Cross multiply
    925.92x = 1,387.51 × 514.49
  4. Step 4: Simplify right side
    925.92x = 713,866.40
  5. Step 5: Solve for x
    x = 713,866.40/925.92
  6. Step 6: Final answer
    x = 770.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.