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Finding the Fourth Proportional to 1,132.07, 1,561.97 and 689.94

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Solution

The fourth proportional to 1,132.07, 1,561.97 and 689.94 is: 951.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,132.07 : 1,561.97 = 689.94 : x
  2. Step 2: Convert to fraction form
    1,132.07/1,561.97 = 689.94/x
  3. Step 3: Cross multiply
    1,132.07x = 1,561.97 × 689.94
  4. Step 4: Simplify right side
    1,132.07x = 1,077,662.13
  5. Step 5: Solve for x
    x = 1,077,662.13/1,132.07
  6. Step 6: Final answer
    x = 951.94

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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.