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Finding the Fourth Proportional to 974.07, 1,461.72 and 396.96

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Solution

The fourth proportional to 974.07, 1,461.72 and 396.96 is: 595.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.07 : 1,461.72 = 396.96 : x
  2. Step 2: Convert to fraction form
    974.07/1,461.72 = 396.96/x
  3. Step 3: Cross multiply
    974.07x = 1,461.72 × 396.96
  4. Step 4: Simplify right side
    974.07x = 580,244.37
  5. Step 5: Solve for x
    x = 580,244.37/974.07
  6. Step 6: Final answer
    x = 595.69

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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.