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Finding the Fourth Proportional to 974.10, 1,461.75 and 426.32

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Solution

The fourth proportional to 974.10, 1,461.75 and 426.32 is: 639.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.10 : 1,461.75 = 426.32 : x
  2. Step 2: Convert to fraction form
    974.10/1,461.75 = 426.32/x
  3. Step 3: Cross multiply
    974.10x = 1,461.75 × 426.32
  4. Step 4: Simplify right side
    974.10x = 623,173.26
  5. Step 5: Solve for x
    x = 623,173.26/974.10
  6. Step 6: Final answer
    x = 639.74

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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.