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Finding the Fourth Proportional to 1,132.92, 1,563.48 and 778.14

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Solution

The fourth proportional to 1,132.92, 1,563.48 and 778.14 is: 1,073.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,132.92 : 1,563.48 = 778.14 : x
  2. Step 2: Convert to fraction form
    1,132.92/1,563.48 = 778.14/x
  3. Step 3: Cross multiply
    1,132.92x = 1,563.48 × 778.14
  4. Step 4: Simplify right side
    1,132.92x = 1,216,606.33
  5. Step 5: Solve for x
    x = 1,216,606.33/1,132.92
  6. Step 6: Final answer
    x = 1,073.87

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Double scale
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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.