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Finding the Fourth Proportional to 984.87, 1,359.14 and 565.35

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Solution

The fourth proportional to 984.87, 1,359.14 and 565.35 is: 780.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    984.87 : 1,359.14 = 565.35 : x
  2. Step 2: Convert to fraction form
    984.87/1,359.14 = 565.35/x
  3. Step 3: Cross multiply
    984.87x = 1,359.14 × 565.35
  4. Step 4: Simplify right side
    984.87x = 768,381.88
  5. Step 5: Solve for x
    x = 768,381.88/984.87
  6. Step 6: Final answer
    x = 780.19

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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.