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Finding the Fourth Proportional to 984.52, 1,358.64 and 564.87

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Solution

The fourth proportional to 984.52, 1,358.64 and 564.87 is: 779.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    984.52 : 1,358.64 = 564.87 : x
  2. Step 2: Convert to fraction form
    984.52/1,358.64 = 564.87/x
  3. Step 3: Cross multiply
    984.52x = 1,358.64 × 564.87
  4. Step 4: Simplify right side
    984.52x = 767,460.07
  5. Step 5: Solve for x
    x = 767,460.07/984.52
  6. Step 6: Final answer
    x = 779.53

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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.