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Finding the Fourth Proportional to 1,171.69, 1,616.01 and 1,045.78

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Solution

The fourth proportional to 1,171.69, 1,616.01 and 1,045.78 is: 1,442.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,171.69 : 1,616.01 = 1,045.78 : x
  2. Step 2: Convert to fraction form
    1,171.69/1,616.01 = 1,045.78/x
  3. Step 3: Cross multiply
    1,171.69x = 1,616.01 × 1,045.78
  4. Step 4: Simplify right side
    1,171.69x = 1,689,990.94
  5. Step 5: Solve for x
    x = 1,689,990.94/1,171.69
  6. Step 6: Final answer
    x = 1,442.35

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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.