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Finding the Fourth Proportional to 1,262.76, 1,742.34 and 948.84

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Solution

The fourth proportional to 1,262.76, 1,742.34 and 948.84 is: 1,309.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,262.76 : 1,742.34 = 948.84 : x
  2. Step 2: Convert to fraction form
    1,262.76/1,742.34 = 948.84/x
  3. Step 3: Cross multiply
    1,262.76x = 1,742.34 × 948.84
  4. Step 4: Simplify right side
    1,262.76x = 1,653,201.89
  5. Step 5: Solve for x
    x = 1,653,201.89/1,262.76
  6. Step 6: Final answer
    x = 1,309.20

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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.