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Finding the Fourth Proportional to 1,106.30, 1,525.89 and 940.25

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Solution

The fourth proportional to 1,106.30, 1,525.89 and 940.25 is: 1,296.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,106.30 : 1,525.89 = 940.25 : x
  2. Step 2: Convert to fraction form
    1,106.30/1,525.89 = 940.25/x
  3. Step 3: Cross multiply
    1,106.30x = 1,525.89 × 940.25
  4. Step 4: Simplify right side
    1,106.30x = 1,434,718.07
  5. Step 5: Solve for x
    x = 1,434,718.07/1,106.30
  6. Step 6: Final answer
    x = 1,296.86

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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.