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Finding the Fourth Proportional to 984.69, 1,476.60 and 522.36

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Solution

The fourth proportional to 984.69, 1,476.60 and 522.36 is: 783.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    984.69 : 1,476.60 = 522.36 : x
  2. Step 2: Convert to fraction form
    984.69/1,476.60 = 522.36/x
  3. Step 3: Cross multiply
    984.69x = 1,476.60 × 522.36
  4. Step 4: Simplify right side
    984.69x = 771,323.38
  5. Step 5: Solve for x
    x = 771,323.38/984.69
  6. Step 6: Final answer
    x = 783.32

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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.