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Finding the Fourth Proportional to 1,203.89, 1,806.18 and 587.95

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Solution

The fourth proportional to 1,203.89, 1,806.18 and 587.95 is: 882.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,203.89 : 1,806.18 = 587.95 : x
  2. Step 2: Convert to fraction form
    1,203.89/1,806.18 = 587.95/x
  3. Step 3: Cross multiply
    1,203.89x = 1,806.18 × 587.95
  4. Step 4: Simplify right side
    1,203.89x = 1,061,943.53
  5. Step 5: Solve for x
    x = 1,061,943.53/1,203.89
  6. Step 6: Final answer
    x = 882.09

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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.