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Finding the Fourth Proportional to 696.36, 961.14 and 510.12

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Solution

The fourth proportional to 696.36, 961.14 and 510.12 is: 704.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.36 : 961.14 = 510.12 : x
  2. Step 2: Convert to fraction form
    696.36/961.14 = 510.12/x
  3. Step 3: Cross multiply
    696.36x = 961.14 × 510.12
  4. Step 4: Simplify right side
    696.36x = 490,296.74
  5. Step 5: Solve for x
    x = 490,296.74/696.36
  6. Step 6: Final answer
    x = 704.09

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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.