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Finding the Fourth Proportional to 1,058.74, 1,587.68 and 409.06

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Solution

The fourth proportional to 1,058.74, 1,587.68 and 409.06 is: 613.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,058.74 : 1,587.68 = 409.06 : x
  2. Step 2: Convert to fraction form
    1,058.74/1,587.68 = 409.06/x
  3. Step 3: Cross multiply
    1,058.74x = 1,587.68 × 409.06
  4. Step 4: Simplify right side
    1,058.74x = 649,456.38
  5. Step 5: Solve for x
    x = 649,456.38/1,058.74
  6. Step 6: Final answer
    x = 613.42

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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.