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Finding the Fourth Proportional to 693.54, 1,040.40 and 282.78

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Solution

The fourth proportional to 693.54, 1,040.40 and 282.78 is: 424.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    693.54 : 1,040.40 = 282.78 : x
  2. Step 2: Convert to fraction form
    693.54/1,040.40 = 282.78/x
  3. Step 3: Cross multiply
    693.54x = 1,040.40 × 282.78
  4. Step 4: Simplify right side
    693.54x = 294,204.31
  5. Step 5: Solve for x
    x = 294,204.31/693.54
  6. Step 6: Final answer
    x = 424.21

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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.