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Finding the Fourth Proportional to 1,275.35, 1,760.00 and 1,231.20

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Solution

The fourth proportional to 1,275.35, 1,760.00 and 1,231.20 is: 1,699.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,275.35 : 1,760.00 = 1,231.20 : x
  2. Step 2: Convert to fraction form
    1,275.35/1,760.00 = 1,231.20/x
  3. Step 3: Cross multiply
    1,275.35x = 1,760.00 × 1,231.20
  4. Step 4: Simplify right side
    1,275.35x = 2,166,905.84
  5. Step 5: Solve for x
    x = 2,166,905.84/1,275.35
  6. Step 6: Final answer
    x = 1,699.07

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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.