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Finding the Fourth Proportional to 1,132.36, 1,562.22 and 758.95

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Solution

The fourth proportional to 1,132.36, 1,562.22 and 758.95 is: 1,047.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,132.36 : 1,562.22 = 758.95 : x
  2. Step 2: Convert to fraction form
    1,132.36/1,562.22 = 758.95/x
  3. Step 3: Cross multiply
    1,132.36x = 1,562.22 × 758.95
  4. Step 4: Simplify right side
    1,132.36x = 1,185,642.96
  5. Step 5: Solve for x
    x = 1,185,642.96/1,132.36
  6. Step 6: Final answer
    x = 1,047.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.