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Finding the Fourth Proportional to 873.78, 1,205.82 and 480.83

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Solution

The fourth proportional to 873.78, 1,205.82 and 480.83 is: 663.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    873.78 : 1,205.82 = 480.83 : x
  2. Step 2: Convert to fraction form
    873.78/1,205.82 = 480.83/x
  3. Step 3: Cross multiply
    873.78x = 1,205.82 × 480.83
  4. Step 4: Simplify right side
    873.78x = 579,788.40
  5. Step 5: Solve for x
    x = 579,788.40/873.78
  6. Step 6: Final answer
    x = 663.54

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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.