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Finding the Fourth Proportional to 1,267.86, 1,902.06 and 402.14

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Solution

The fourth proportional to 1,267.86, 1,902.06 and 402.14 is: 603.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,267.86 : 1,902.06 = 402.14 : x
  2. Step 2: Convert to fraction form
    1,267.86/1,902.06 = 402.14/x
  3. Step 3: Cross multiply
    1,267.86x = 1,902.06 × 402.14
  4. Step 4: Simplify right side
    1,267.86x = 764,894.41
  5. Step 5: Solve for x
    x = 764,894.41/1,267.86
  6. Step 6: Final answer
    x = 603.30

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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.