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Finding the Fourth Proportional to 1,129.88, 1,559.23 and 687.70

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Solution

The fourth proportional to 1,129.88, 1,559.23 and 687.70 is: 949.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,129.88 : 1,559.23 = 687.70 : x
  2. Step 2: Convert to fraction form
    1,129.88/1,559.23 = 687.70/x
  3. Step 3: Cross multiply
    1,129.88x = 1,559.23 × 687.70
  4. Step 4: Simplify right side
    1,129.88x = 1,072,282.47
  5. Step 5: Solve for x
    x = 1,072,282.47/1,129.88
  6. Step 6: Final answer
    x = 949.02

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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.