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Finding the Fourth Proportional to 696.57, 959.08 and 591.45

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Solution

The fourth proportional to 696.57, 959.08 and 591.45 is: 814.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.57 : 959.08 = 591.45 : x
  2. Step 2: Convert to fraction form
    696.57/959.08 = 591.45/x
  3. Step 3: Cross multiply
    696.57x = 959.08 × 591.45
  4. Step 4: Simplify right side
    696.57x = 567,244.91
  5. Step 5: Solve for x
    x = 567,244.91/696.57
  6. Step 6: Final answer
    x = 814.34

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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.