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Finding the Fourth Proportional to 1,277.19, 1,763.67 and 805.92

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Solution

The fourth proportional to 1,277.19, 1,763.67 and 805.92 is: 1,112.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,277.19 : 1,763.67 = 805.92 : x
  2. Step 2: Convert to fraction form
    1,277.19/1,763.67 = 805.92/x
  3. Step 3: Cross multiply
    1,277.19x = 1,763.67 × 805.92
  4. Step 4: Simplify right side
    1,277.19x = 1,421,379.95
  5. Step 5: Solve for x
    x = 1,421,379.95/1,277.19
  6. Step 6: Final answer
    x = 1,112.90

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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.