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Finding the Fourth Proportional to 1,266.96, 1,748.49 and 707.61

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Solution

The fourth proportional to 1,266.96, 1,748.49 and 707.61 is: 976.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,266.96 : 1,748.49 = 707.61 : x
  2. Step 2: Convert to fraction form
    1,266.96/1,748.49 = 707.61/x
  3. Step 3: Cross multiply
    1,266.96x = 1,748.49 × 707.61
  4. Step 4: Simplify right side
    1,266.96x = 1,237,249.01
  5. Step 5: Solve for x
    x = 1,237,249.01/1,266.96
  6. Step 6: Final answer
    x = 976.55

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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.