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Finding the Fourth Proportional to 1,433.58, 2,149.62 and 611.40

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Solution

The fourth proportional to 1,433.58, 2,149.62 and 611.40 is: 916.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,433.58 : 2,149.62 = 611.40 : x
  2. Step 2: Convert to fraction form
    1,433.58/2,149.62 = 611.40/x
  3. Step 3: Cross multiply
    1,433.58x = 2,149.62 × 611.40
  4. Step 4: Simplify right side
    1,433.58x = 1,314,277.67
  5. Step 5: Solve for x
    x = 1,314,277.67/1,433.58
  6. Step 6: Final answer
    x = 916.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.