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Finding the Fourth Proportional to 1,587.14, 2,380.70 and 663.34

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Solution

The fourth proportional to 1,587.14, 2,380.70 and 663.34 is: 995.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,587.14 : 2,380.70 = 663.34 : x
  2. Step 2: Convert to fraction form
    1,587.14/2,380.70 = 663.34/x
  3. Step 3: Cross multiply
    1,587.14x = 2,380.70 × 663.34
  4. Step 4: Simplify right side
    1,587.14x = 1,579,213.54
  5. Step 5: Solve for x
    x = 1,579,213.54/1,587.14
  6. Step 6: Final answer
    x = 995.01

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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.