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Finding the Fourth Proportional to 1,325.91, 1,987.35 and 631.59

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Solution

The fourth proportional to 1,325.91, 1,987.35 and 631.59 is: 946.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,325.91 : 1,987.35 = 631.59 : x
  2. Step 2: Convert to fraction form
    1,325.91/1,987.35 = 631.59/x
  3. Step 3: Cross multiply
    1,325.91x = 1,987.35 × 631.59
  4. Step 4: Simplify right side
    1,325.91x = 1,255,188.02
  5. Step 5: Solve for x
    x = 1,255,188.02/1,325.91
  6. Step 6: Final answer
    x = 946.66

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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.