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Finding the Fourth Proportional to 982.22, 1,472.13 and 433.77

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Solution

The fourth proportional to 982.22, 1,472.13 and 433.77 is: 650.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    982.22 : 1,472.13 = 433.77 : x
  2. Step 2: Convert to fraction form
    982.22/1,472.13 = 433.77/x
  3. Step 3: Cross multiply
    982.22x = 1,472.13 × 433.77
  4. Step 4: Simplify right side
    982.22x = 638,565.83
  5. Step 5: Solve for x
    x = 638,565.83/982.22
  6. Step 6: Final answer
    x = 650.13

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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.