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Finding the Fourth Proportional to 1,267.19, 1,900.85 and 476.54

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Solution

The fourth proportional to 1,267.19, 1,900.85 and 476.54 is: 714.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,267.19 : 1,900.85 = 476.54 : x
  2. Step 2: Convert to fraction form
    1,267.19/1,900.85 = 476.54/x
  3. Step 3: Cross multiply
    1,267.19x = 1,900.85 × 476.54
  4. Step 4: Simplify right side
    1,267.19x = 905,819.17
  5. Step 5: Solve for x
    x = 905,819.17/1,267.19
  6. Step 6: Final answer
    x = 714.83

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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.