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Finding the Fourth Proportional to 1,203.19, 1,805.11 and 509.89

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Solution

The fourth proportional to 1,203.19, 1,805.11 and 509.89 is: 764.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,203.19 : 1,805.11 = 509.89 : x
  2. Step 2: Convert to fraction form
    1,203.19/1,805.11 = 509.89/x
  3. Step 3: Cross multiply
    1,203.19x = 1,805.11 × 509.89
  4. Step 4: Simplify right side
    1,203.19x = 920,397.41
  5. Step 5: Solve for x
    x = 920,397.41/1,203.19
  6. Step 6: Final answer
    x = 764.96

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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.