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Finding the Fourth Proportional to 984.10, 1,358.17 and 564.50

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Solution

The fourth proportional to 984.10, 1,358.17 and 564.50 is: 779.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    984.10 : 1,358.17 = 564.50 : x
  2. Step 2: Convert to fraction form
    984.10/1,358.17 = 564.50/x
  3. Step 3: Cross multiply
    984.10x = 1,358.17 × 564.50
  4. Step 4: Simplify right side
    984.10x = 766,686.97
  5. Step 5: Solve for x
    x = 766,686.97/984.10
  6. Step 6: Final answer
    x = 779.07

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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.