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Finding the Fourth Proportional to 1,129.56, 1,681.74 and 1,113.36

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Solution

The fourth proportional to 1,129.56, 1,681.74 and 1,113.36 is: 1,657.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,129.56 : 1,681.74 = 1,113.36 : x
  2. Step 2: Convert to fraction form
    1,129.56/1,681.74 = 1,113.36/x
  3. Step 3: Cross multiply
    1,129.56x = 1,681.74 × 1,113.36
  4. Step 4: Simplify right side
    1,129.56x = 1,872,382.05
  5. Step 5: Solve for x
    x = 1,872,382.05/1,129.56
  6. Step 6: Final answer
    x = 1,657.62

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.