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Finding the Fourth Proportional to 696.77, 961.77 and 402.14

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Solution

The fourth proportional to 696.77, 961.77 and 402.14 is: 555.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.77 : 961.77 = 402.14 : x
  2. Step 2: Convert to fraction form
    696.77/961.77 = 402.14/x
  3. Step 3: Cross multiply
    696.77x = 961.77 × 402.14
  4. Step 4: Simplify right side
    696.77x = 386,761.38
  5. Step 5: Solve for x
    x = 386,761.38/696.77
  6. Step 6: Final answer
    x = 555.08

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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.