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Finding the Fourth Proportional to 984.84, 1,476.65 and 522.33

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Solution

The fourth proportional to 984.84, 1,476.65 and 522.33 is: 783.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    984.84 : 1,476.65 = 522.33 : x
  2. Step 2: Convert to fraction form
    984.84/1,476.65 = 522.33/x
  3. Step 3: Cross multiply
    984.84x = 1,476.65 × 522.33
  4. Step 4: Simplify right side
    984.84x = 771,295.98
  5. Step 5: Solve for x
    x = 771,295.98/984.84
  6. Step 6: Final answer
    x = 783.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.