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Finding the Fourth Proportional to 1,139.76, 1,580.67 and 1,068.48

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Solution

The fourth proportional to 1,139.76, 1,580.67 and 1,068.48 is: 1,481.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,139.76 : 1,580.67 = 1,068.48 : x
  2. Step 2: Convert to fraction form
    1,139.76/1,580.67 = 1,068.48/x
  3. Step 3: Cross multiply
    1,139.76x = 1,580.67 × 1,068.48
  4. Step 4: Simplify right side
    1,139.76x = 1,688,914.28
  5. Step 5: Solve for x
    x = 1,688,914.28/1,139.76
  6. Step 6: Final answer
    x = 1,481.82

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.