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Finding the Fourth Proportional to 1,118.30, 1,673.13 and 605.66

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Solution

The fourth proportional to 1,118.30, 1,673.13 and 605.66 is: 906.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,118.30 : 1,673.13 = 605.66 : x
  2. Step 2: Convert to fraction form
    1,118.30/1,673.13 = 605.66/x
  3. Step 3: Cross multiply
    1,118.30x = 1,673.13 × 605.66
  4. Step 4: Simplify right side
    1,118.30x = 1,013,347.92
  5. Step 5: Solve for x
    x = 1,013,347.92/1,118.30
  6. Step 6: Final answer
    x = 906.15

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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.