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Finding the Fourth Proportional to 1,591.96, 2,197.78 and 1,070.76

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Solution

The fourth proportional to 1,591.96, 2,197.78 and 1,070.76 is: 1,478.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,591.96 : 2,197.78 = 1,070.76 : x
  2. Step 2: Convert to fraction form
    1,591.96/2,197.78 = 1,070.76/x
  3. Step 3: Cross multiply
    1,591.96x = 2,197.78 × 1,070.76
  4. Step 4: Simplify right side
    1,591.96x = 2,353,294.91
  5. Step 5: Solve for x
    x = 2,353,294.91/1,591.96
  6. Step 6: Final answer
    x = 1,478.24

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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.