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Finding the Fourth Proportional to 1,267.01, 1,748.26 and 707.49

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Solution

The fourth proportional to 1,267.01, 1,748.26 and 707.49 is: 976.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,267.01 : 1,748.26 = 707.49 : x
  2. Step 2: Convert to fraction form
    1,267.01/1,748.26 = 707.49/x
  3. Step 3: Cross multiply
    1,267.01x = 1,748.26 × 707.49
  4. Step 4: Simplify right side
    1,267.01x = 1,236,876.47
  5. Step 5: Solve for x
    x = 1,236,876.47/1,267.01
  6. Step 6: Final answer
    x = 976.22

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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.