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Finding the Fourth Proportional to 982.24, 1,355.71 and 632.32

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Solution

The fourth proportional to 982.24, 1,355.71 and 632.32 is: 872.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    982.24 : 1,355.71 = 632.32 : x
  2. Step 2: Convert to fraction form
    982.24/1,355.71 = 632.32/x
  3. Step 3: Cross multiply
    982.24x = 1,355.71 × 632.32
  4. Step 4: Simplify right side
    982.24x = 857,235.77
  5. Step 5: Solve for x
    x = 857,235.77/982.24
  6. Step 6: Final answer
    x = 872.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.