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Finding the Fourth Proportional to 700.64, 966.94 and 420.87

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Solution

The fourth proportional to 700.64, 966.94 and 420.87 is: 580.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    700.64 : 966.94 = 420.87 : x
  2. Step 2: Convert to fraction form
    700.64/966.94 = 420.87/x
  3. Step 3: Cross multiply
    700.64x = 966.94 × 420.87
  4. Step 4: Simplify right side
    700.64x = 406,958.61
  5. Step 5: Solve for x
    x = 406,958.61/700.64
  6. Step 6: Final answer
    x = 580.83

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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.