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Finding the Fourth Proportional to 1,050.16, 1,448.40 and 911.92

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Solution

The fourth proportional to 1,050.16, 1,448.40 and 911.92 is: 1,257.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,050.16 : 1,448.40 = 911.92 : x
  2. Step 2: Convert to fraction form
    1,050.16/1,448.40 = 911.92/x
  3. Step 3: Cross multiply
    1,050.16x = 1,448.40 × 911.92
  4. Step 4: Simplify right side
    1,050.16x = 1,320,824.93
  5. Step 5: Solve for x
    x = 1,320,824.93/1,050.16
  6. Step 6: Final answer
    x = 1,257.74

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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.