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Finding the Fourth Proportional to 897.82, 1,238.32 and 524.78

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Solution

The fourth proportional to 897.82, 1,238.32 and 524.78 is: 723.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    897.82 : 1,238.32 = 524.78 : x
  2. Step 2: Convert to fraction form
    897.82/1,238.32 = 524.78/x
  3. Step 3: Cross multiply
    897.82x = 1,238.32 × 524.78
  4. Step 4: Simplify right side
    897.82x = 649,845.57
  5. Step 5: Solve for x
    x = 649,845.57/897.82
  6. Step 6: Final answer
    x = 723.80

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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.