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Finding the Fourth Proportional to 1,058.19, 1,587.22 and 365.19

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Solution

The fourth proportional to 1,058.19, 1,587.22 and 365.19 is: 547.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,058.19 : 1,587.22 = 365.19 : x
  2. Step 2: Convert to fraction form
    1,058.19/1,587.22 = 365.19/x
  3. Step 3: Cross multiply
    1,058.19x = 1,587.22 × 365.19
  4. Step 4: Simplify right side
    1,058.19x = 579,635.96
  5. Step 5: Solve for x
    x = 579,635.96/1,058.19
  6. Step 6: Final answer
    x = 547.76

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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.