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Finding the Fourth Proportional to 982.14, 1,470.51 and 778.02

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Solution

The fourth proportional to 982.14, 1,470.51 and 778.02 is: 1,164.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    982.14 : 1,470.51 = 778.02 : x
  2. Step 2: Convert to fraction form
    982.14/1,470.51 = 778.02/x
  3. Step 3: Cross multiply
    982.14x = 1,470.51 × 778.02
  4. Step 4: Simplify right side
    982.14x = 1,144,086.19
  5. Step 5: Solve for x
    x = 1,144,086.19/982.14
  6. Step 6: Final answer
    x = 1,164.89

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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.