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Finding the Fourth Proportional to 1,134.47, 1,566 and 1,016.25

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Solution

The fourth proportional to 1,134.47, 1,566 and 1,016.25 is: 1,402.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,134.47 : 1,566 = 1,016.25 : x
  2. Step 2: Convert to fraction form
    1,134.47/1,566 = 1,016.25/x
  3. Step 3: Cross multiply
    1,134.47x = 1,566 × 1,016.25
  4. Step 4: Simplify right side
    1,134.47x = 1,591,441.63
  5. Step 5: Solve for x
    x = 1,591,441.63/1,134.47
  6. Step 6: Final answer
    x = 1,402.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.