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Finding the Fourth Proportional to 1,153.34, 1,730 and 422.66

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Solution

The fourth proportional to 1,153.34, 1,730 and 422.66 is: 633.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,153.34 : 1,730 = 422.66 : x
  2. Step 2: Convert to fraction form
    1,153.34/1,730 = 422.66/x
  3. Step 3: Cross multiply
    1,153.34x = 1,730 × 422.66
  4. Step 4: Simplify right side
    1,153.34x = 731,201.80
  5. Step 5: Solve for x
    x = 731,201.80/1,153.34
  6. Step 6: Final answer
    x = 633.99

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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.