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Finding the Fourth Proportional to 974.01, 1,461.63 and 396.89

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Solution

The fourth proportional to 974.01, 1,461.63 and 396.89 is: 595.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.01 : 1,461.63 = 396.89 : x
  2. Step 2: Convert to fraction form
    974.01/1,461.63 = 396.89/x
  3. Step 3: Cross multiply
    974.01x = 1,461.63 × 396.89
  4. Step 4: Simplify right side
    974.01x = 580,097.04
  5. Step 5: Solve for x
    x = 580,097.04/974.01
  6. Step 6: Final answer
    x = 595.58

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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.