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Finding the Fourth Proportional to 1,414.98, 1,953.57 and 911.06

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Solution

The fourth proportional to 1,414.98, 1,953.57 and 911.06 is: 1,257.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,414.98 : 1,953.57 = 911.06 : x
  2. Step 2: Convert to fraction form
    1,414.98/1,953.57 = 911.06/x
  3. Step 3: Cross multiply
    1,414.98x = 1,953.57 × 911.06
  4. Step 4: Simplify right side
    1,414.98x = 1,779,813.13
  5. Step 5: Solve for x
    x = 1,779,813.13/1,414.98
  6. Step 6: Final answer
    x = 1,257.84

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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.