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Finding the Fourth Proportional to 982.82, 1,472.31 and 592.94

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Solution

The fourth proportional to 982.82, 1,472.31 and 592.94 is: 888.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    982.82 : 1,472.31 = 592.94 : x
  2. Step 2: Convert to fraction form
    982.82/1,472.31 = 592.94/x
  3. Step 3: Cross multiply
    982.82x = 1,472.31 × 592.94
  4. Step 4: Simplify right side
    982.82x = 872,995.17
  5. Step 5: Solve for x
    x = 872,995.17/982.82
  6. Step 6: Final answer
    x = 888.25

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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.