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Finding the Fourth Proportional to 1,142.75, 1,576.83 and 638.61

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Solution

The fourth proportional to 1,142.75, 1,576.83 and 638.61 is: 881.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,142.75 : 1,576.83 = 638.61 : x
  2. Step 2: Convert to fraction form
    1,142.75/1,576.83 = 638.61/x
  3. Step 3: Cross multiply
    1,142.75x = 1,576.83 × 638.61
  4. Step 4: Simplify right side
    1,142.75x = 1,006,979.41
  5. Step 5: Solve for x
    x = 1,006,979.41/1,142.75
  6. Step 6: Final answer
    x = 881.19

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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.