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Finding the Fourth Proportional to 700.69, 966.74 and 405.95

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Solution

The fourth proportional to 700.69, 966.74 and 405.95 is: 560.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    700.69 : 966.74 = 405.95 : x
  2. Step 2: Convert to fraction form
    700.69/966.74 = 405.95/x
  3. Step 3: Cross multiply
    700.69x = 966.74 × 405.95
  4. Step 4: Simplify right side
    700.69x = 392,448.10
  5. Step 5: Solve for x
    x = 392,448.10/700.69
  6. Step 6: Final answer
    x = 560.09

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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.