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Finding the Fourth Proportional to 1,266.90, 1,748.15 and 707.29

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Solution

The fourth proportional to 1,266.90, 1,748.15 and 707.29 is: 975.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,266.90 : 1,748.15 = 707.29 : x
  2. Step 2: Convert to fraction form
    1,266.90/1,748.15 = 707.29/x
  3. Step 3: Cross multiply
    1,266.90x = 1,748.15 × 707.29
  4. Step 4: Simplify right side
    1,266.90x = 1,236,449.01
  5. Step 5: Solve for x
    x = 1,236,449.01/1,266.90
  6. Step 6: Final answer
    x = 975.96

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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.