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Finding the Fourth Proportional to 974.46, 1,461.72 and 396.93

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Solution

The fourth proportional to 974.46, 1,461.72 and 396.93 is: 595.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.46 : 1,461.72 = 396.93 : x
  2. Step 2: Convert to fraction form
    974.46/1,461.72 = 396.93/x
  3. Step 3: Cross multiply
    974.46x = 1,461.72 × 396.93
  4. Step 4: Simplify right side
    974.46x = 580,200.52
  5. Step 5: Solve for x
    x = 580,200.52/974.46
  6. Step 6: Final answer
    x = 595.41

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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.