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Finding the Fourth Proportional to 696.80, 961.56 and 402.02

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Solution

The fourth proportional to 696.80, 961.56 and 402.02 is: 554.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.80 : 961.56 = 402.02 : x
  2. Step 2: Convert to fraction form
    696.80/961.56 = 402.02/x
  3. Step 3: Cross multiply
    696.80x = 961.56 × 402.02
  4. Step 4: Simplify right side
    696.80x = 386,566.35
  5. Step 5: Solve for x
    x = 386,566.35/696.80
  6. Step 6: Final answer
    x = 554.77

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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.