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Finding the Fourth Proportional to 1,151.02, 1,726.96 and 689.12

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Solution

The fourth proportional to 1,151.02, 1,726.96 and 689.12 is: 1,033.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,151.02 : 1,726.96 = 689.12 : x
  2. Step 2: Convert to fraction form
    1,151.02/1,726.96 = 689.12/x
  3. Step 3: Cross multiply
    1,151.02x = 1,726.96 × 689.12
  4. Step 4: Simplify right side
    1,151.02x = 1,190,085.27
  5. Step 5: Solve for x
    x = 1,190,085.27/1,151.02
  6. Step 6: Final answer
    x = 1,033.94

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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.