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Finding the Fourth Proportional to 1,141.86, 1,701.96 and 1,058.76

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Solution

The fourth proportional to 1,141.86, 1,701.96 and 1,058.76 is: 1,578.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,141.86 : 1,701.96 = 1,058.76 : x
  2. Step 2: Convert to fraction form
    1,141.86/1,701.96 = 1,058.76/x
  3. Step 3: Cross multiply
    1,141.86x = 1,701.96 × 1,058.76
  4. Step 4: Simplify right side
    1,141.86x = 1,801,967.17
  5. Step 5: Solve for x
    x = 1,801,967.17/1,141.86
  6. Step 6: Final answer
    x = 1,578.10

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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.