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Finding the Fourth Proportional to 1,207.43, 1,810.91 and 428.00

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Solution

The fourth proportional to 1,207.43, 1,810.91 and 428.00 is: 641.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,207.43 : 1,810.91 = 428.00 : x
  2. Step 2: Convert to fraction form
    1,207.43/1,810.91 = 428.00/x
  3. Step 3: Cross multiply
    1,207.43x = 1,810.91 × 428.00
  4. Step 4: Simplify right side
    1,207.43x = 775,058.29
  5. Step 5: Solve for x
    x = 775,058.29/1,207.43
  6. Step 6: Final answer
    x = 641.91

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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.