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Finding the Fourth Proportional to 1,129.54, 1,559.24 and 687.60

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Solution

The fourth proportional to 1,129.54, 1,559.24 and 687.60 is: 949.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,129.54 : 1,559.24 = 687.60 : x
  2. Step 2: Convert to fraction form
    1,129.54/1,559.24 = 687.60/x
  3. Step 3: Cross multiply
    1,129.54x = 1,559.24 × 687.60
  4. Step 4: Simplify right side
    1,129.54x = 1,072,133.42
  5. Step 5: Solve for x
    x = 1,072,133.42/1,129.54
  6. Step 6: Final answer
    x = 949.18

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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.