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Finding the Fourth Proportional to 1,109.88, 1,665.90 and 1,058.58

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Solution

The fourth proportional to 1,109.88, 1,665.90 and 1,058.58 is: 1,588.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,109.88 : 1,665.90 = 1,058.58 : x
  2. Step 2: Convert to fraction form
    1,109.88/1,665.90 = 1,058.58/x
  3. Step 3: Cross multiply
    1,109.88x = 1,665.90 × 1,058.58
  4. Step 4: Simplify right side
    1,109.88x = 1,763,488.42
  5. Step 5: Solve for x
    x = 1,763,488.42/1,109.88
  6. Step 6: Final answer
    x = 1,588.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.