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Finding the Fourth Proportional to 1,058.80, 1,587.84 and 365.35

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Solution

The fourth proportional to 1,058.80, 1,587.84 and 365.35 is: 547.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,058.80 : 1,587.84 = 365.35 : x
  2. Step 2: Convert to fraction form
    1,058.80/1,587.84 = 365.35/x
  3. Step 3: Cross multiply
    1,058.80x = 1,587.84 × 365.35
  4. Step 4: Simplify right side
    1,058.80x = 580,117.34
  5. Step 5: Solve for x
    x = 580,117.34/1,058.80
  6. Step 6: Final answer
    x = 547.90

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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.