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Finding the Fourth Proportional to 974, 1,461.64 and 461.04

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Solution

The fourth proportional to 974, 1,461.64 and 461.04 is: 691.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    974 : 1,461.64 = 461.04 : x
  2. Step 2: Convert to fraction form
    974/1,461.64 = 461.04/x
  3. Step 3: Cross multiply
    974x = 1,461.64 × 461.04
  4. Step 4: Simplify right side
    974x = 673,874.51
  5. Step 5: Solve for x
    x = 673,874.51/974
  6. Step 6: Final answer
    x = 691.86

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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.