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Finding the Fourth Proportional to 1,193.38, 1,648.22 and 814.63

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Solution

The fourth proportional to 1,193.38, 1,648.22 and 814.63 is: 1,125.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,193.38 : 1,648.22 = 814.63 : x
  2. Step 2: Convert to fraction form
    1,193.38/1,648.22 = 814.63/x
  3. Step 3: Cross multiply
    1,193.38x = 1,648.22 × 814.63
  4. Step 4: Simplify right side
    1,193.38x = 1,342,689.46
  5. Step 5: Solve for x
    x = 1,342,689.46/1,193.38
  6. Step 6: Final answer
    x = 1,125.11

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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.