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Finding the Fourth Proportional to 697.93, 1,047.09 and 567.61

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Solution

The fourth proportional to 697.93, 1,047.09 and 567.61 is: 851.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.93 : 1,047.09 = 567.61 : x
  2. Step 2: Convert to fraction form
    697.93/1,047.09 = 567.61/x
  3. Step 3: Cross multiply
    697.93x = 1,047.09 × 567.61
  4. Step 4: Simplify right side
    697.93x = 594,338.75
  5. Step 5: Solve for x
    x = 594,338.75/697.93
  6. Step 6: Final answer
    x = 851.57

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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.