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Finding the Fourth Proportional to 1,587.13, 2,378.97 and 663.19

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Solution

The fourth proportional to 1,587.13, 2,378.97 and 663.19 is: 994.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,587.13 : 2,378.97 = 663.19 : x
  2. Step 2: Convert to fraction form
    1,587.13/2,378.97 = 663.19/x
  3. Step 3: Cross multiply
    1,587.13x = 2,378.97 × 663.19
  4. Step 4: Simplify right side
    1,587.13x = 1,577,703.17
  5. Step 5: Solve for x
    x = 1,577,703.17/1,587.13
  6. Step 6: Final answer
    x = 994.06

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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.