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Finding the Fourth Proportional to 1,132.54, 1,562.78 and 660.44

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Solution

The fourth proportional to 1,132.54, 1,562.78 and 660.44 is: 911.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,132.54 : 1,562.78 = 660.44 : x
  2. Step 2: Convert to fraction form
    1,132.54/1,562.78 = 660.44/x
  3. Step 3: Cross multiply
    1,132.54x = 1,562.78 × 660.44
  4. Step 4: Simplify right side
    1,132.54x = 1,032,127.98
  5. Step 5: Solve for x
    x = 1,032,127.98/1,132.54
  6. Step 6: Final answer
    x = 911.34

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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.