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Finding the Fourth Proportional to 1,226.58, 1,695.05 and 931.33

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Solution

The fourth proportional to 1,226.58, 1,695.05 and 931.33 is: 1,287.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,226.58 : 1,695.05 = 931.33 : x
  2. Step 2: Convert to fraction form
    1,226.58/1,695.05 = 931.33/x
  3. Step 3: Cross multiply
    1,226.58x = 1,695.05 × 931.33
  4. Step 4: Simplify right side
    1,226.58x = 1,578,650.92
  5. Step 5: Solve for x
    x = 1,578,650.92/1,226.58
  6. Step 6: Final answer
    x = 1,287.03

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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.