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Finding the Fourth Proportional to 1,021.78, 1,532.69 and 535.78

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Solution

The fourth proportional to 1,021.78, 1,532.69 and 535.78 is: 803.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,021.78 : 1,532.69 = 535.78 : x
  2. Step 2: Convert to fraction form
    1,021.78/1,532.69 = 535.78/x
  3. Step 3: Cross multiply
    1,021.78x = 1,532.69 × 535.78
  4. Step 4: Simplify right side
    1,021.78x = 821,184.65
  5. Step 5: Solve for x
    x = 821,184.65/1,021.78
  6. Step 6: Final answer
    x = 803.68

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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.