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Finding the Fourth Proportional to 1,132.27, 1,562.11 and 660.09

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Solution

The fourth proportional to 1,132.27, 1,562.11 and 660.09 is: 910.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,132.27 : 1,562.11 = 660.09 : x
  2. Step 2: Convert to fraction form
    1,132.27/1,562.11 = 660.09/x
  3. Step 3: Cross multiply
    1,132.27x = 1,562.11 × 660.09
  4. Step 4: Simplify right side
    1,132.27x = 1,031,128.27
  5. Step 5: Solve for x
    x = 1,031,128.27/1,132.27
  6. Step 6: Final answer
    x = 910.68

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.