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Finding the Fourth Proportional to 1,026.40, 1,412.40 and 982.72

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Solution

The fourth proportional to 1,026.40, 1,412.40 and 982.72 is: 1,352.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,026.40 : 1,412.40 = 982.72 : x
  2. Step 2: Convert to fraction form
    1,026.40/1,412.40 = 982.72/x
  3. Step 3: Cross multiply
    1,026.40x = 1,412.40 × 982.72
  4. Step 4: Simplify right side
    1,026.40x = 1,387,993.73
  5. Step 5: Solve for x
    x = 1,387,993.73/1,026.40
  6. Step 6: Final answer
    x = 1,352.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.