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Finding the Fourth Proportional to 1,154.90, 1,591.94 and 1,059.56

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Solution

The fourth proportional to 1,154.90, 1,591.94 and 1,059.56 is: 1,460.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,154.90 : 1,591.94 = 1,059.56 : x
  2. Step 2: Convert to fraction form
    1,154.90/1,591.94 = 1,059.56/x
  3. Step 3: Cross multiply
    1,154.90x = 1,591.94 × 1,059.56
  4. Step 4: Simplify right side
    1,154.90x = 1,686,755.95
  5. Step 5: Solve for x
    x = 1,686,755.95/1,154.90
  6. Step 6: Final answer
    x = 1,460.52

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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.