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Finding the Fourth Proportional to 693.45, 1,040.48 and 539.15

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Solution

The fourth proportional to 693.45, 1,040.48 and 539.15 is: 808.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    693.45 : 1,040.48 = 539.15 : x
  2. Step 2: Convert to fraction form
    693.45/1,040.48 = 539.15/x
  3. Step 3: Cross multiply
    693.45x = 1,040.48 × 539.15
  4. Step 4: Simplify right side
    693.45x = 560,966.89
  5. Step 5: Solve for x
    x = 560,966.89/693.45
  6. Step 6: Final answer
    x = 808.95

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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.