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Finding the Fourth Proportional to 1,227.14, 1,693.80 and 978.36

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Solution

The fourth proportional to 1,227.14, 1,693.80 and 978.36 is: 1,350.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,227.14 : 1,693.80 = 978.36 : x
  2. Step 2: Convert to fraction form
    1,227.14/1,693.80 = 978.36/x
  3. Step 3: Cross multiply
    1,227.14x = 1,693.80 × 978.36
  4. Step 4: Simplify right side
    1,227.14x = 1,657,146.17
  5. Step 5: Solve for x
    x = 1,657,146.17/1,227.14
  6. Step 6: Final answer
    x = 1,350.42

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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.