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Finding the Fourth Proportional to 1,587.03, 2,380.45 and 547.00

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Solution

The fourth proportional to 1,587.03, 2,380.45 and 547.00 is: 820.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,587.03 : 2,380.45 = 547.00 : x
  2. Step 2: Convert to fraction form
    1,587.03/2,380.45 = 547.00/x
  3. Step 3: Cross multiply
    1,587.03x = 2,380.45 × 547.00
  4. Step 4: Simplify right side
    1,587.03x = 1,302,107.76
  5. Step 5: Solve for x
    x = 1,302,107.76/1,587.03
  6. Step 6: Final answer
    x = 820.47

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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.