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Finding the Fourth Proportional to 925.13, 1,387.70 and 412.13

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Solution

The fourth proportional to 925.13, 1,387.70 and 412.13 is: 618.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    925.13 : 1,387.70 = 412.13 : x
  2. Step 2: Convert to fraction form
    925.13/1,387.70 = 412.13/x
  3. Step 3: Cross multiply
    925.13x = 1,387.70 × 412.13
  4. Step 4: Simplify right side
    925.13x = 571,912.80
  5. Step 5: Solve for x
    x = 571,912.80/925.13
  6. Step 6: Final answer
    x = 618.20

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1.5x scale

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.