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Finding the Fourth Proportional to 1,587.07, 2,378.53 and 661.56

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Solution

The fourth proportional to 1,587.07, 2,378.53 and 661.56 is: 991.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,587.07 : 2,378.53 = 661.56 : x
  2. Step 2: Convert to fraction form
    1,587.07/2,378.53 = 661.56/x
  3. Step 3: Cross multiply
    1,587.07x = 2,378.53 × 661.56
  4. Step 4: Simplify right side
    1,587.07x = 1,573,540.31
  5. Step 5: Solve for x
    x = 1,573,540.31/1,587.07
  6. Step 6: Final answer
    x = 991.48

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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.