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Finding the Fourth Proportional to 1,288.44, 1,776.75 and 1,146.20

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Solution

The fourth proportional to 1,288.44, 1,776.75 and 1,146.20 is: 1,580.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,288.44 : 1,776.75 = 1,146.20 : x
  2. Step 2: Convert to fraction form
    1,288.44/1,776.75 = 1,146.20/x
  3. Step 3: Cross multiply
    1,288.44x = 1,776.75 × 1,146.20
  4. Step 4: Simplify right side
    1,288.44x = 2,036,510.85
  5. Step 5: Solve for x
    x = 2,036,510.85/1,288.44
  6. Step 6: Final answer
    x = 1,580.60

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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.