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Finding the Fourth Proportional to 1,021.66, 1,532.39 and 473.84

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Solution

The fourth proportional to 1,021.66, 1,532.39 and 473.84 is: 710.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,021.66 : 1,532.39 = 473.84 : x
  2. Step 2: Convert to fraction form
    1,021.66/1,532.39 = 473.84/x
  3. Step 3: Cross multiply
    1,021.66x = 1,532.39 × 473.84
  4. Step 4: Simplify right side
    1,021.66x = 726,103.39
  5. Step 5: Solve for x
    x = 726,103.39/1,021.66
  6. Step 6: Final answer
    x = 710.71

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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.