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Finding the Fourth Proportional to 1,324.86, 1,987.85 and 631.51

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Solution

The fourth proportional to 1,324.86, 1,987.85 and 631.51 is: 947.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,324.86 : 1,987.85 = 631.51 : x
  2. Step 2: Convert to fraction form
    1,324.86/1,987.85 = 631.51/x
  3. Step 3: Cross multiply
    1,324.86x = 1,987.85 × 631.51
  4. Step 4: Simplify right side
    1,324.86x = 1,255,347.15
  5. Step 5: Solve for x
    x = 1,255,347.15/1,324.86
  6. Step 6: Final answer
    x = 947.53

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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.