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Finding the Fourth Proportional to 1,325.62, 1,987.21 and 631.86

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Solution

The fourth proportional to 1,325.62, 1,987.21 and 631.86 is: 947.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,325.62 : 1,987.21 = 631.86 : x
  2. Step 2: Convert to fraction form
    1,325.62/1,987.21 = 631.86/x
  3. Step 3: Cross multiply
    1,325.62x = 1,987.21 × 631.86
  4. Step 4: Simplify right side
    1,325.62x = 1,255,638.51
  5. Step 5: Solve for x
    x = 1,255,638.51/1,325.62
  6. Step 6: Final answer
    x = 947.21

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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.