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Finding the Fourth Proportional to 1,323.26, 1,985.07 and 398.70

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Solution

The fourth proportional to 1,323.26, 1,985.07 and 398.70 is: 598.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,323.26 : 1,985.07 = 398.70 : x
  2. Step 2: Convert to fraction form
    1,323.26/1,985.07 = 398.70/x
  3. Step 3: Cross multiply
    1,323.26x = 1,985.07 × 398.70
  4. Step 4: Simplify right side
    1,323.26x = 791,447.41
  5. Step 5: Solve for x
    x = 791,447.41/1,323.26
  6. Step 6: Final answer
    x = 598.11

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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.