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Finding the Fourth Proportional to 1,311.60, 1,966.68 and 734.88

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Solution

The fourth proportional to 1,311.60, 1,966.68 and 734.88 is: 1,101.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,311.60 : 1,966.68 = 734.88 : x
  2. Step 2: Convert to fraction form
    1,311.60/1,966.68 = 734.88/x
  3. Step 3: Cross multiply
    1,311.60x = 1,966.68 × 734.88
  4. Step 4: Simplify right side
    1,311.60x = 1,445,273.80
  5. Step 5: Solve for x
    x = 1,445,273.80/1,311.60
  6. Step 6: Final answer
    x = 1,101.92

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.