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Finding the Fourth Proportional to 1,266.96, 1,748.56 and 707.52

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Solution

The fourth proportional to 1,266.96, 1,748.56 and 707.52 is: 976.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,266.96 : 1,748.56 = 707.52 : x
  2. Step 2: Convert to fraction form
    1,266.96/1,748.56 = 707.52/x
  3. Step 3: Cross multiply
    1,266.96x = 1,748.56 × 707.52
  4. Step 4: Simplify right side
    1,266.96x = 1,237,141.17
  5. Step 5: Solve for x
    x = 1,237,141.17/1,266.96
  6. Step 6: Final answer
    x = 976.46

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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.