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Finding the Fourth Proportional to 1,211.90, 1,670.81 and 1,045.76

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Solution

The fourth proportional to 1,211.90, 1,670.81 and 1,045.76 is: 1,441.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,211.90 : 1,670.81 = 1,045.76 : x
  2. Step 2: Convert to fraction form
    1,211.90/1,670.81 = 1,045.76/x
  3. Step 3: Cross multiply
    1,211.90x = 1,670.81 × 1,045.76
  4. Step 4: Simplify right side
    1,211.90x = 1,747,252.68
  5. Step 5: Solve for x
    x = 1,747,252.68/1,211.90
  6. Step 6: Final answer
    x = 1,441.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.