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Finding the Fourth Proportional to 925.20, 1,386.36 and 705.48

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Solution

The fourth proportional to 925.20, 1,386.36 and 705.48 is: 1,057.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    925.20 : 1,386.36 = 705.48 : x
  2. Step 2: Convert to fraction form
    925.20/1,386.36 = 705.48/x
  3. Step 3: Cross multiply
    925.20x = 1,386.36 × 705.48
  4. Step 4: Simplify right side
    925.20x = 978,049.25
  5. Step 5: Solve for x
    x = 978,049.25/925.20
  6. Step 6: Final answer
    x = 1,057.12

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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.