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Finding the Fourth Proportional to 1,153.12, 1,589.78 and 917.88

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Solution

The fourth proportional to 1,153.12, 1,589.78 and 917.88 is: 1,265.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,153.12 : 1,589.78 = 917.88 : x
  2. Step 2: Convert to fraction form
    1,153.12/1,589.78 = 917.88/x
  3. Step 3: Cross multiply
    1,153.12x = 1,589.78 × 917.88
  4. Step 4: Simplify right side
    1,153.12x = 1,459,227.27
  5. Step 5: Solve for x
    x = 1,459,227.27/1,153.12
  6. Step 6: Final answer
    x = 1,265.46

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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.