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Finding the Fourth Proportional to 1,058.31, 1,587.33 and 278.37

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Solution

The fourth proportional to 1,058.31, 1,587.33 and 278.37 is: 417.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,058.31 : 1,587.33 = 278.37 : x
  2. Step 2: Convert to fraction form
    1,058.31/1,587.33 = 278.37/x
  3. Step 3: Cross multiply
    1,058.31x = 1,587.33 × 278.37
  4. Step 4: Simplify right side
    1,058.31x = 441,861.43
  5. Step 5: Solve for x
    x = 441,861.43/1,058.31
  6. Step 6: Final answer
    x = 417.52

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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.