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Finding the Fourth Proportional to 1,058.85, 1,587.06 and 864.26

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Solution

The fourth proportional to 1,058.85, 1,587.06 and 864.26 is: 1,295.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,058.85 : 1,587.06 = 864.26 : x
  2. Step 2: Convert to fraction form
    1,058.85/1,587.06 = 864.26/x
  3. Step 3: Cross multiply
    1,058.85x = 1,587.06 × 864.26
  4. Step 4: Simplify right side
    1,058.85x = 1,371,624.54
  5. Step 5: Solve for x
    x = 1,371,624.54/1,058.85
  6. Step 6: Final answer
    x = 1,295.39

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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.