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Finding the Fourth Proportional to 1,120.28, 1,677.18 and 753.80

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Solution

The fourth proportional to 1,120.28, 1,677.18 and 753.80 is: 1,128.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,120.28 : 1,677.18 = 753.80 : x
  2. Step 2: Convert to fraction form
    1,120.28/1,677.18 = 753.80/x
  3. Step 3: Cross multiply
    1,120.28x = 1,677.18 × 753.80
  4. Step 4: Simplify right side
    1,120.28x = 1,264,258.28
  5. Step 5: Solve for x
    x = 1,264,258.28/1,120.28
  6. Step 6: Final answer
    x = 1,128.52

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