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Finding the Fourth Proportional to 1,131.17, 1,561.28 and 689.41

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Solution

The fourth proportional to 1,131.17, 1,561.28 and 689.41 is: 951.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,131.17 : 1,561.28 = 689.41 : x
  2. Step 2: Convert to fraction form
    1,131.17/1,561.28 = 689.41/x
  3. Step 3: Cross multiply
    1,131.17x = 1,561.28 × 689.41
  4. Step 4: Simplify right side
    1,131.17x = 1,076,360.55
  5. Step 5: Solve for x
    x = 1,076,360.55/1,131.17
  6. Step 6: Final answer
    x = 951.55

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