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Finding the Fourth Proportional to 697.46, 1,046.82 and 568.94

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Solution

The fourth proportional to 697.46, 1,046.82 and 568.94 is: 853.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.46 : 1,046.82 = 568.94 : x
  2. Step 2: Convert to fraction form
    697.46/1,046.82 = 568.94/x
  3. Step 3: Cross multiply
    697.46x = 1,046.82 × 568.94
  4. Step 4: Simplify right side
    697.46x = 595,577.77
  5. Step 5: Solve for x
    x = 595,577.77/697.46
  6. Step 6: Final answer
    x = 853.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.