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Finding the Fourth Proportional to 700.76, 966.78 and 452.06

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Solution

The fourth proportional to 700.76, 966.78 and 452.06 is: 623.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    700.76 : 966.78 = 452.06 : x
  2. Step 2: Convert to fraction form
    700.76/966.78 = 452.06/x
  3. Step 3: Cross multiply
    700.76x = 966.78 × 452.06
  4. Step 4: Simplify right side
    700.76x = 437,042.57
  5. Step 5: Solve for x
    x = 437,042.57/700.76
  6. Step 6: Final answer
    x = 623.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.