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Finding the Fourth Proportional to 982.47, 1,470.26 and 592.66

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Solution

The fourth proportional to 982.47, 1,470.26 and 592.66 is: 886.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    982.47 : 1,470.26 = 592.66 : x
  2. Step 2: Convert to fraction form
    982.47/1,470.26 = 592.66/x
  3. Step 3: Cross multiply
    982.47x = 1,470.26 × 592.66
  4. Step 4: Simplify right side
    982.47x = 871,362.10
  5. Step 5: Solve for x
    x = 871,362.10/982.47
  6. Step 6: Final answer
    x = 886.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.