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Finding the Fourth Proportional to 1,040.09, 1,560.87 and 766.94

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Solution

The fourth proportional to 1,040.09, 1,560.87 and 766.94 is: 1,150.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,040.09 : 1,560.87 = 766.94 : x
  2. Step 2: Convert to fraction form
    1,040.09/1,560.87 = 766.94/x
  3. Step 3: Cross multiply
    1,040.09x = 1,560.87 × 766.94
  4. Step 4: Simplify right side
    1,040.09x = 1,197,085.83
  5. Step 5: Solve for x
    x = 1,197,085.83/1,040.09
  6. Step 6: Final answer
    x = 1,150.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.