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Finding the Fourth Proportional to 1,323.20, 1,985.14 and 398.72

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Solution

The fourth proportional to 1,323.20, 1,985.14 and 398.72 is: 598.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,323.20 : 1,985.14 = 398.72 : x
  2. Step 2: Convert to fraction form
    1,323.20/1,985.14 = 398.72/x
  3. Step 3: Cross multiply
    1,323.20x = 1,985.14 × 398.72
  4. Step 4: Simplify right side
    1,323.20x = 791,515.02
  5. Step 5: Solve for x
    x = 791,515.02/1,323.20
  6. Step 6: Final answer
    x = 598.18

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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.