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Finding the Fourth Proportional to 693.76, 1,040.35 and 282.62

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Solution

The fourth proportional to 693.76, 1,040.35 and 282.62 is: 423.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    693.76 : 1,040.35 = 282.62 : x
  2. Step 2: Convert to fraction form
    693.76/1,040.35 = 282.62/x
  3. Step 3: Cross multiply
    693.76x = 1,040.35 × 282.62
  4. Step 4: Simplify right side
    693.76x = 294,017.10
  5. Step 5: Solve for x
    x = 294,017.10/693.76
  6. Step 6: Final answer
    x = 423.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.