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Finding the Fourth Proportional to 1,132.07, 1,561.66 and 759.06

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Solution

The fourth proportional to 1,132.07, 1,561.66 and 759.06 is: 1,047.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,132.07 : 1,561.66 = 759.06 : x
  2. Step 2: Convert to fraction form
    1,132.07/1,561.66 = 759.06/x
  3. Step 3: Cross multiply
    1,132.07x = 1,561.66 × 759.06
  4. Step 4: Simplify right side
    1,132.07x = 1,185,391.74
  5. Step 5: Solve for x
    x = 1,185,391.74/1,132.07
  6. Step 6: Final answer
    x = 1,047.11

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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.