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Finding the Fourth Proportional to 1,139.96, 1,698.15 and 1,105.53

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Solution

The fourth proportional to 1,139.96, 1,698.15 and 1,105.53 is: 1,646.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,139.96 : 1,698.15 = 1,105.53 : x
  2. Step 2: Convert to fraction form
    1,139.96/1,698.15 = 1,105.53/x
  3. Step 3: Cross multiply
    1,139.96x = 1,698.15 × 1,105.53
  4. Step 4: Simplify right side
    1,139.96x = 1,877,355.77
  5. Step 5: Solve for x
    x = 1,877,355.77/1,139.96
  6. Step 6: Final answer
    x = 1,646.87

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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.