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Finding the Fourth Proportional to 1,277.72, 1,763.64 and 754.08

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Solution

The fourth proportional to 1,277.72, 1,763.64 and 754.08 is: 1,040.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,277.72 : 1,763.64 = 754.08 : x
  2. Step 2: Convert to fraction form
    1,277.72/1,763.64 = 754.08/x
  3. Step 3: Cross multiply
    1,277.72x = 1,763.64 × 754.08
  4. Step 4: Simplify right side
    1,277.72x = 1,329,925.65
  5. Step 5: Solve for x
    x = 1,329,925.65/1,277.72
  6. Step 6: Final answer
    x = 1,040.86

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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.