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Finding the Fourth Proportional to 1,468.85, 2,201.75 and 738.02

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Solution

The fourth proportional to 1,468.85, 2,201.75 and 738.02 is: 1,106.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,468.85 : 2,201.75 = 738.02 : x
  2. Step 2: Convert to fraction form
    1,468.85/2,201.75 = 738.02/x
  3. Step 3: Cross multiply
    1,468.85x = 2,201.75 × 738.02
  4. Step 4: Simplify right side
    1,468.85x = 1,624,920.84
  5. Step 5: Solve for x
    x = 1,624,920.84/1,468.85
  6. Step 6: Final answer
    x = 1,106.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.