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Finding the Fourth Proportional to 700.76, 1,049.78 and 515.33

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Solution

The fourth proportional to 700.76, 1,049.78 and 515.33 is: 771.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    700.76 : 1,049.78 = 515.33 : x
  2. Step 2: Convert to fraction form
    700.76/1,049.78 = 515.33/x
  3. Step 3: Cross multiply
    700.76x = 1,049.78 × 515.33
  4. Step 4: Simplify right side
    700.76x = 540,975.30
  5. Step 5: Solve for x
    x = 540,975.30/700.76
  6. Step 6: Final answer
    x = 771.98

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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.