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Finding the Fourth Proportional to 974.04, 1,461.42 and 425.94

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Solution

The fourth proportional to 974.04, 1,461.42 and 425.94 is: 639.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.04 : 1,461.42 = 425.94 : x
  2. Step 2: Convert to fraction form
    974.04/1,461.42 = 425.94/x
  3. Step 3: Cross multiply
    974.04x = 1,461.42 × 425.94
  4. Step 4: Simplify right side
    974.04x = 622,477.23
  5. Step 5: Solve for x
    x = 622,477.23/974.04
  6. Step 6: Final answer
    x = 639.07

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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.