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Finding the Fourth Proportional to 700.82, 966.74 and 406.05

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Solution

The fourth proportional to 700.82, 966.74 and 406.05 is: 560.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    700.82 : 966.74 = 406.05 : x
  2. Step 2: Convert to fraction form
    700.82/966.74 = 406.05/x
  3. Step 3: Cross multiply
    700.82x = 966.74 × 406.05
  4. Step 4: Simplify right side
    700.82x = 392,539.12
  5. Step 5: Solve for x
    x = 392,539.12/700.82
  6. Step 6: Final answer
    x = 560.12

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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.