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Finding the Fourth Proportional to 744.40, 1,111.13 and 691

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Solution

The fourth proportional to 744.40, 1,111.13 and 691 is: 1,031.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    744.40 : 1,111.13 = 691 : x
  2. Step 2: Convert to fraction form
    744.40/1,111.13 = 691/x
  3. Step 3: Cross multiply
    744.40x = 1,111.13 × 691
  4. Step 4: Simplify right side
    744.40x = 767,790.83
  5. Step 5: Solve for x
    x = 767,790.83/744.40
  6. Step 6: Final answer
    x = 1,031.42

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.