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Finding the Fourth Proportional to 689.84, 952.80 and 559.52

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Solution

The fourth proportional to 689.84, 952.80 and 559.52 is: 772.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.84 : 952.80 = 559.52 : x
  2. Step 2: Convert to fraction form
    689.84/952.80 = 559.52/x
  3. Step 3: Cross multiply
    689.84x = 952.80 × 559.52
  4. Step 4: Simplify right side
    689.84x = 533,110.66
  5. Step 5: Solve for x
    x = 533,110.66/689.84
  6. Step 6: Final answer
    x = 772.80

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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.