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Finding the Fourth Proportional to 1,129.69, 1,685.98 and 1,100.53

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Solution

The fourth proportional to 1,129.69, 1,685.98 and 1,100.53 is: 1,642.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,129.69 : 1,685.98 = 1,100.53 : x
  2. Step 2: Convert to fraction form
    1,129.69/1,685.98 = 1,100.53/x
  3. Step 3: Cross multiply
    1,129.69x = 1,685.98 × 1,100.53
  4. Step 4: Simplify right side
    1,129.69x = 1,855,471.57
  5. Step 5: Solve for x
    x = 1,855,471.57/1,129.69
  6. Step 6: Final answer
    x = 1,642.46

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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.