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Finding the Fourth Proportional to 1,226.93, 1,839.92 and 707.31

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Solution

The fourth proportional to 1,226.93, 1,839.92 and 707.31 is: 1,060.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,226.93 : 1,839.92 = 707.31 : x
  2. Step 2: Convert to fraction form
    1,226.93/1,839.92 = 707.31/x
  3. Step 3: Cross multiply
    1,226.93x = 1,839.92 × 707.31
  4. Step 4: Simplify right side
    1,226.93x = 1,301,390.28
  5. Step 5: Solve for x
    x = 1,301,390.28/1,226.93
  6. Step 6: Final answer
    x = 1,060.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.