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Finding the Fourth Proportional to 982.78, 1,473.49 and 705.31

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Solution

The fourth proportional to 982.78, 1,473.49 and 705.31 is: 1,057.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    982.78 : 1,473.49 = 705.31 : x
  2. Step 2: Convert to fraction form
    982.78/1,473.49 = 705.31/x
  3. Step 3: Cross multiply
    982.78x = 1,473.49 × 705.31
  4. Step 4: Simplify right side
    982.78x = 1,039,264.43
  5. Step 5: Solve for x
    x = 1,039,264.43/982.78
  6. Step 6: Final answer
    x = 1,057.47

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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.