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Finding the Fourth Proportional to 925.49, 1,384.75 and 514.92

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Solution

The fourth proportional to 925.49, 1,384.75 and 514.92 is: 770.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    925.49 : 1,384.75 = 514.92 : x
  2. Step 2: Convert to fraction form
    925.49/1,384.75 = 514.92/x
  3. Step 3: Cross multiply
    925.49x = 1,384.75 × 514.92
  4. Step 4: Simplify right side
    925.49x = 713,035.47
  5. Step 5: Solve for x
    x = 713,035.47/925.49
  6. Step 6: Final answer
    x = 770.44

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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.