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Finding the Fourth Proportional to 1,587.30, 2,380.77 and 547.26

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Solution

The fourth proportional to 1,587.30, 2,380.77 and 547.26 is: 820.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,587.30 : 2,380.77 = 547.26 : x
  2. Step 2: Convert to fraction form
    1,587.30/2,380.77 = 547.26/x
  3. Step 3: Cross multiply
    1,587.30x = 2,380.77 × 547.26
  4. Step 4: Simplify right side
    1,587.30x = 1,302,900.19
  5. Step 5: Solve for x
    x = 1,302,900.19/1,587.30
  6. Step 6: Final answer
    x = 820.83

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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.