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Finding the Fourth Proportional to 1,207.19, 1,810.33 and 514.19

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Solution

The fourth proportional to 1,207.19, 1,810.33 and 514.19 is: 771.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,207.19 : 1,810.33 = 514.19 : x
  2. Step 2: Convert to fraction form
    1,207.19/1,810.33 = 514.19/x
  3. Step 3: Cross multiply
    1,207.19x = 1,810.33 × 514.19
  4. Step 4: Simplify right side
    1,207.19x = 930,853.58
  5. Step 5: Solve for x
    x = 930,853.58/1,207.19
  6. Step 6: Final answer
    x = 771.09

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.