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Finding the Fourth Proportional to 1,115.10, 1,538.75 and 642.77

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Solution

The fourth proportional to 1,115.10, 1,538.75 and 642.77 is: 886.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,115.10 : 1,538.75 = 642.77 : x
  2. Step 2: Convert to fraction form
    1,115.10/1,538.75 = 642.77/x
  3. Step 3: Cross multiply
    1,115.10x = 1,538.75 × 642.77
  4. Step 4: Simplify right side
    1,115.10x = 989,058.41
  5. Step 5: Solve for x
    x = 989,058.41/1,115.10
  6. Step 6: Final answer
    x = 886.97

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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.