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Finding the Fourth Proportional to 893.86, 1,233.65 and 500.91

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Solution

The fourth proportional to 893.86, 1,233.65 and 500.91 is: 691.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    893.86 : 1,233.65 = 500.91 : x
  2. Step 2: Convert to fraction form
    893.86/1,233.65 = 500.91/x
  3. Step 3: Cross multiply
    893.86x = 1,233.65 × 500.91
  4. Step 4: Simplify right side
    893.86x = 617,944.25
  5. Step 5: Solve for x
    x = 617,944.25/893.86
  6. Step 6: Final answer
    x = 691.32

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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.