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Finding the Fourth Proportional to 984.64, 1,358.87 and 565.12

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Solution

The fourth proportional to 984.64, 1,358.87 and 565.12 is: 779.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    984.64 : 1,358.87 = 565.12 : x
  2. Step 2: Convert to fraction form
    984.64/1,358.87 = 565.12/x
  3. Step 3: Cross multiply
    984.64x = 1,358.87 × 565.12
  4. Step 4: Simplify right side
    984.64x = 767,914.99
  5. Step 5: Solve for x
    x = 767,914.99/984.64
  6. Step 6: Final answer
    x = 779.90

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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.