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Finding the Fourth Proportional to 1,126.84, 1,689.12 and 760.72

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Solution

The fourth proportional to 1,126.84, 1,689.12 and 760.72 is: 1,140.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,126.84 : 1,689.12 = 760.72 : x
  2. Step 2: Convert to fraction form
    1,126.84/1,689.12 = 760.72/x
  3. Step 3: Cross multiply
    1,126.84x = 1,689.12 × 760.72
  4. Step 4: Simplify right side
    1,126.84x = 1,284,947.37
  5. Step 5: Solve for x
    x = 1,284,947.37/1,126.84
  6. Step 6: Final answer
    x = 1,140.31

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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.