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Finding the Fourth Proportional to 1,132.92, 1,563.03 and 739.80

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Solution

The fourth proportional to 1,132.92, 1,563.03 and 739.80 is: 1,020.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,132.92 : 1,563.03 = 739.80 : x
  2. Step 2: Convert to fraction form
    1,132.92/1,563.03 = 739.80/x
  3. Step 3: Cross multiply
    1,132.92x = 1,563.03 × 739.80
  4. Step 4: Simplify right side
    1,132.92x = 1,156,329.59
  5. Step 5: Solve for x
    x = 1,156,329.59/1,132.92
  6. Step 6: Final answer
    x = 1,020.66

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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.