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Finding the Fourth Proportional to 982.23, 1,473.63 and 570.61

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Solution

The fourth proportional to 982.23, 1,473.63 and 570.61 is: 856.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    982.23 : 1,473.63 = 570.61 : x
  2. Step 2: Convert to fraction form
    982.23/1,473.63 = 570.61/x
  3. Step 3: Cross multiply
    982.23x = 1,473.63 × 570.61
  4. Step 4: Simplify right side
    982.23x = 840,868.01
  5. Step 5: Solve for x
    x = 840,868.01/982.23
  6. Step 6: Final answer
    x = 856.08

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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.