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Finding the Fourth Proportional to 983.88, 1,357.70 and 564.14

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Solution

The fourth proportional to 983.88, 1,357.70 and 564.14 is: 778.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    983.88 : 1,357.70 = 564.14 : x
  2. Step 2: Convert to fraction form
    983.88/1,357.70 = 564.14/x
  3. Step 3: Cross multiply
    983.88x = 1,357.70 × 564.14
  4. Step 4: Simplify right side
    983.88x = 765,930.06
  5. Step 5: Solve for x
    x = 765,930.06/983.88
  6. Step 6: Final answer
    x = 778.48

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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.