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Finding the Fourth Proportional to 1,262.65, 1,893.33 and 742.75

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Solution

The fourth proportional to 1,262.65, 1,893.33 and 742.75 is: 1,113.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,262.65 : 1,893.33 = 742.75 : x
  2. Step 2: Convert to fraction form
    1,262.65/1,893.33 = 742.75/x
  3. Step 3: Cross multiply
    1,262.65x = 1,893.33 × 742.75
  4. Step 4: Simplify right side
    1,262.65x = 1,406,270.86
  5. Step 5: Solve for x
    x = 1,406,270.86/1,262.65
  6. Step 6: Final answer
    x = 1,113.75

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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.