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Finding the Fourth Proportional to 974.31, 1,461.83 and 584.58

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Solution

The fourth proportional to 974.31, 1,461.83 and 584.58 is: 877.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.31 : 1,461.83 = 584.58 : x
  2. Step 2: Convert to fraction form
    974.31/1,461.83 = 584.58/x
  3. Step 3: Cross multiply
    974.31x = 1,461.83 × 584.58
  4. Step 4: Simplify right side
    974.31x = 854,556.58
  5. Step 5: Solve for x
    x = 854,556.58/974.31
  6. Step 6: Final answer
    x = 877.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.