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Finding the Fourth Proportional to 973.96, 1,461.17 and 426.20

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Solution

The fourth proportional to 973.96, 1,461.17 and 426.20 is: 639.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    973.96 : 1,461.17 = 426.20 : x
  2. Step 2: Convert to fraction form
    973.96/1,461.17 = 426.20/x
  3. Step 3: Cross multiply
    973.96x = 1,461.17 × 426.20
  4. Step 4: Simplify right side
    973.96x = 622,744.41
  5. Step 5: Solve for x
    x = 622,744.41/973.96
  6. Step 6: Final answer
    x = 639.40

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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.