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Finding the Fourth Proportional to 1,267.38, 1,901.28 and 401.64

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Solution

The fourth proportional to 1,267.38, 1,901.28 and 401.64 is: 602.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,267.38 : 1,901.28 = 401.64 : x
  2. Step 2: Convert to fraction form
    1,267.38/1,901.28 = 401.64/x
  3. Step 3: Cross multiply
    1,267.38x = 1,901.28 × 401.64
  4. Step 4: Simplify right side
    1,267.38x = 763,630.10
  5. Step 5: Solve for x
    x = 763,630.10/1,267.38
  6. Step 6: Final answer
    x = 602.53

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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.