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Finding the Fourth Proportional to 1,003.34, 1,505.16 and 426.21

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Solution

The fourth proportional to 1,003.34, 1,505.16 and 426.21 is: 639.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,003.34 : 1,505.16 = 426.21 : x
  2. Step 2: Convert to fraction form
    1,003.34/1,505.16 = 426.21/x
  3. Step 3: Cross multiply
    1,003.34x = 1,505.16 × 426.21
  4. Step 4: Simplify right side
    1,003.34x = 641,514.24
  5. Step 5: Solve for x
    x = 641,514.24/1,003.34
  6. Step 6: Final answer
    x = 639.38

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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.