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Finding the Fourth Proportional to 1,207.22, 1,810.36 and 514.20

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Solution

The fourth proportional to 1,207.22, 1,810.36 and 514.20 is: 771.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,207.22 : 1,810.36 = 514.20 : x
  2. Step 2: Convert to fraction form
    1,207.22/1,810.36 = 514.20/x
  3. Step 3: Cross multiply
    1,207.22x = 1,810.36 × 514.20
  4. Step 4: Simplify right side
    1,207.22x = 930,891.65
  5. Step 5: Solve for x
    x = 930,891.65/1,207.22
  6. Step 6: Final answer
    x = 771.11

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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.