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Finding the Fourth Proportional to 1,433.18, 2,149.77 and 611.30

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Solution

The fourth proportional to 1,433.18, 2,149.77 and 611.30 is: 916.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,433.18 : 2,149.77 = 611.30 : x
  2. Step 2: Convert to fraction form
    1,433.18/2,149.77 = 611.30/x
  3. Step 3: Cross multiply
    1,433.18x = 2,149.77 × 611.30
  4. Step 4: Simplify right side
    1,433.18x = 1,314,154.40
  5. Step 5: Solve for x
    x = 1,314,154.40/1,433.18
  6. Step 6: Final answer
    x = 916.95

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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.