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Finding the Fourth Proportional to 897.80, 1,238.10 and 587.24

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Solution

The fourth proportional to 897.80, 1,238.10 and 587.24 is: 809.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    897.80 : 1,238.10 = 587.24 : x
  2. Step 2: Convert to fraction form
    897.80/1,238.10 = 587.24/x
  3. Step 3: Cross multiply
    897.80x = 1,238.10 × 587.24
  4. Step 4: Simplify right side
    897.80x = 727,061.84
  5. Step 5: Solve for x
    x = 727,061.84/897.80
  6. Step 6: Final answer
    x = 809.83

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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.