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Finding the Fourth Proportional to 759.74, 1,052.93 and 748.22

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Solution

The fourth proportional to 759.74, 1,052.93 and 748.22 is: 1,036.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    759.74 : 1,052.93 = 748.22 : x
  2. Step 2: Convert to fraction form
    759.74/1,052.93 = 748.22/x
  3. Step 3: Cross multiply
    759.74x = 1,052.93 × 748.22
  4. Step 4: Simplify right side
    759.74x = 787,823.28
  5. Step 5: Solve for x
    x = 787,823.28/759.74
  6. Step 6: Final answer
    x = 1,036.96

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.