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Finding the Fourth Proportional to 1,058.56, 1,587.63 and 365.74

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Solution

The fourth proportional to 1,058.56, 1,587.63 and 365.74 is: 548.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,058.56 : 1,587.63 = 365.74 : x
  2. Step 2: Convert to fraction form
    1,058.56/1,587.63 = 365.74/x
  3. Step 3: Cross multiply
    1,058.56x = 1,587.63 × 365.74
  4. Step 4: Simplify right side
    1,058.56x = 580,659.80
  5. Step 5: Solve for x
    x = 580,659.80/1,058.56
  6. Step 6: Final answer
    x = 548.54

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Why These Related Problems?

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