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Finding the Fourth Proportional to 983.80, 1,357.62 and 564.40

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Solution

The fourth proportional to 983.80, 1,357.62 and 564.40 is: 778.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    983.80 : 1,357.62 = 564.40 : x
  2. Step 2: Convert to fraction form
    983.80/1,357.62 = 564.40/x
  3. Step 3: Cross multiply
    983.80x = 1,357.62 × 564.40
  4. Step 4: Simplify right side
    983.80x = 766,240.73
  5. Step 5: Solve for x
    x = 766,240.73/983.80
  6. Step 6: Final answer
    x = 778.86

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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.