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Finding the Fourth Proportional to 982.33, 1,473.03 and 571.59

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Solution

The fourth proportional to 982.33, 1,473.03 and 571.59 is: 857.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    982.33 : 1,473.03 = 571.59 : x
  2. Step 2: Convert to fraction form
    982.33/1,473.03 = 571.59/x
  3. Step 3: Cross multiply
    982.33x = 1,473.03 × 571.59
  4. Step 4: Simplify right side
    982.33x = 841,969.22
  5. Step 5: Solve for x
    x = 841,969.22/982.33
  6. Step 6: Final answer
    x = 857.11

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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.