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Finding the Fourth Proportional to 982.32, 1,473.72 and 571.36

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Solution

The fourth proportional to 982.32, 1,473.72 and 571.36 is: 857.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    982.32 : 1,473.72 = 571.36 : x
  2. Step 2: Convert to fraction form
    982.32/1,473.72 = 571.36/x
  3. Step 3: Cross multiply
    982.32x = 1,473.72 × 571.36
  4. Step 4: Simplify right side
    982.32x = 842,024.66
  5. Step 5: Solve for x
    x = 842,024.66/982.32
  6. Step 6: Final answer
    x = 857.18

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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.