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Finding the Fourth Proportional to 693.78, 1,040.65 and 282.80

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Solution

The fourth proportional to 693.78, 1,040.65 and 282.80 is: 424.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    693.78 : 1,040.65 = 282.80 : x
  2. Step 2: Convert to fraction form
    693.78/1,040.65 = 282.80/x
  3. Step 3: Cross multiply
    693.78x = 1,040.65 × 282.80
  4. Step 4: Simplify right side
    693.78x = 294,297.71
  5. Step 5: Solve for x
    x = 294,297.71/693.78
  6. Step 6: Final answer
    x = 424.20

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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.