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Finding the Fourth Proportional to 700.66, 967.02 and 451.78

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Solution

The fourth proportional to 700.66, 967.02 and 451.78 is: 623.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    700.66 : 967.02 = 451.78 : x
  2. Step 2: Convert to fraction form
    700.66/967.02 = 451.78/x
  3. Step 3: Cross multiply
    700.66x = 967.02 × 451.78
  4. Step 4: Simplify right side
    700.66x = 436,880.30
  5. Step 5: Solve for x
    x = 436,880.30/700.66
  6. Step 6: Final answer
    x = 623.53

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Why These Related Problems?

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