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Finding the Fourth Proportional to 1,132.76, 1,564.08 and 739.64

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Solution

The fourth proportional to 1,132.76, 1,564.08 and 739.64 is: 1,021.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,132.76 : 1,564.08 = 739.64 : x
  2. Step 2: Convert to fraction form
    1,132.76/1,564.08 = 739.64/x
  3. Step 3: Cross multiply
    1,132.76x = 1,564.08 × 739.64
  4. Step 4: Simplify right side
    1,132.76x = 1,156,856.13
  5. Step 5: Solve for x
    x = 1,156,856.13/1,132.76
  6. Step 6: Final answer
    x = 1,021.27

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Half scale
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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.