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Finding the Fourth Proportional to 925.14, 1,388.22 and 412.14

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Solution

The fourth proportional to 925.14, 1,388.22 and 412.14 is: 618.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    925.14 : 1,388.22 = 412.14 : x
  2. Step 2: Convert to fraction form
    925.14/1,388.22 = 412.14/x
  3. Step 3: Cross multiply
    925.14x = 1,388.22 × 412.14
  4. Step 4: Simplify right side
    925.14x = 572,140.99
  5. Step 5: Solve for x
    x = 572,140.99/925.14
  6. Step 6: Final answer
    x = 618.44

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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.