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Finding the Fourth Proportional to 984.84, 1,359 and 565.17

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Solution

The fourth proportional to 984.84, 1,359 and 565.17 is: 779.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    984.84 : 1,359 = 565.17 : x
  2. Step 2: Convert to fraction form
    984.84/1,359 = 565.17/x
  3. Step 3: Cross multiply
    984.84x = 1,359 × 565.17
  4. Step 4: Simplify right side
    984.84x = 768,066.03
  5. Step 5: Solve for x
    x = 768,066.03/984.84
  6. Step 6: Final answer
    x = 779.89

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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.