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Finding the Fourth Proportional to 1,295.72, 1,788.42 and 799.08

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Solution

The fourth proportional to 1,295.72, 1,788.42 and 799.08 is: 1,102.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,295.72 : 1,788.42 = 799.08 : x
  2. Step 2: Convert to fraction form
    1,295.72/1,788.42 = 799.08/x
  3. Step 3: Cross multiply
    1,295.72x = 1,788.42 × 799.08
  4. Step 4: Simplify right side
    1,295.72x = 1,429,090.65
  5. Step 5: Solve for x
    x = 1,429,090.65/1,295.72
  6. Step 6: Final answer
    x = 1,102.93

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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.