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Finding the Fourth Proportional to 897.89, 1,238.90 and 565.92

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Solution

The fourth proportional to 897.89, 1,238.90 and 565.92 is: 780.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    897.89 : 1,238.90 = 565.92 : x
  2. Step 2: Convert to fraction form
    897.89/1,238.90 = 565.92/x
  3. Step 3: Cross multiply
    897.89x = 1,238.90 × 565.92
  4. Step 4: Simplify right side
    897.89x = 701,115.46
  5. Step 5: Solve for x
    x = 701,115.46/897.89
  6. Step 6: Final answer
    x = 780.85

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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.