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Finding the Fourth Proportional to 1,207.31, 1,811.22 and 405.93

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Solution

The fourth proportional to 1,207.31, 1,811.22 and 405.93 is: 608.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,207.31 : 1,811.22 = 405.93 : x
  2. Step 2: Convert to fraction form
    1,207.31/1,811.22 = 405.93/x
  3. Step 3: Cross multiply
    1,207.31x = 1,811.22 × 405.93
  4. Step 4: Simplify right side
    1,207.31x = 735,228.53
  5. Step 5: Solve for x
    x = 735,228.53/1,207.31
  6. Step 6: Final answer
    x = 608.98

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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.