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Finding the Fourth Proportional to 1,267.62, 1,901.64 and 402.14

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Solution

The fourth proportional to 1,267.62, 1,901.64 and 402.14 is: 603.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,267.62 : 1,901.64 = 402.14 : x
  2. Step 2: Convert to fraction form
    1,267.62/1,901.64 = 402.14/x
  3. Step 3: Cross multiply
    1,267.62x = 1,901.64 × 402.14
  4. Step 4: Simplify right side
    1,267.62x = 764,725.51
  5. Step 5: Solve for x
    x = 764,725.51/1,267.62
  6. Step 6: Final answer
    x = 603.28

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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.