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Finding the Fourth Proportional to 700.78, 966.97 and 420.96

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Solution

The fourth proportional to 700.78, 966.97 and 420.96 is: 580.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    700.78 : 966.97 = 420.96 : x
  2. Step 2: Convert to fraction form
    700.78/966.97 = 420.96/x
  3. Step 3: Cross multiply
    700.78x = 966.97 × 420.96
  4. Step 4: Simplify right side
    700.78x = 407,055.69
  5. Step 5: Solve for x
    x = 407,055.69/700.78
  6. Step 6: Final answer
    x = 580.86

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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.