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Finding the Fourth Proportional to 982.16, 1,470.32 and 648.99

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Solution

The fourth proportional to 982.16, 1,470.32 and 648.99 is: 971.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    982.16 : 1,470.32 = 648.99 : x
  2. Step 2: Convert to fraction form
    982.16/1,470.32 = 648.99/x
  3. Step 3: Cross multiply
    982.16x = 1,470.32 × 648.99
  4. Step 4: Simplify right side
    982.16x = 954,222.98
  5. Step 5: Solve for x
    x = 954,222.98/982.16
  6. Step 6: Final answer
    x = 971.56

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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.