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Finding the Fourth Proportional to 1,266.91, 1,748.12 and 707.36

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Solution

The fourth proportional to 1,266.91, 1,748.12 and 707.36 is: 976.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,266.91 : 1,748.12 = 707.36 : x
  2. Step 2: Convert to fraction form
    1,266.91/1,748.12 = 707.36/x
  3. Step 3: Cross multiply
    1,266.91x = 1,748.12 × 707.36
  4. Step 4: Simplify right side
    1,266.91x = 1,236,550.16
  5. Step 5: Solve for x
    x = 1,236,550.16/1,266.91
  6. Step 6: Final answer
    x = 976.04

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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.