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Finding the Fourth Proportional to 1,103.47, 1,522.15 and 749.41

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Solution

The fourth proportional to 1,103.47, 1,522.15 and 749.41 is: 1,033.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,103.47 : 1,522.15 = 749.41 : x
  2. Step 2: Convert to fraction form
    1,103.47/1,522.15 = 749.41/x
  3. Step 3: Cross multiply
    1,103.47x = 1,522.15 × 749.41
  4. Step 4: Simplify right side
    1,103.47x = 1,140,714.43
  5. Step 5: Solve for x
    x = 1,140,714.43/1,103.47
  6. Step 6: Final answer
    x = 1,033.75

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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.