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Finding the Fourth Proportional to 1,267.85, 1,900.91 and 434.69

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Solution

The fourth proportional to 1,267.85, 1,900.91 and 434.69 is: 651.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,267.85 : 1,900.91 = 434.69 : x
  2. Step 2: Convert to fraction form
    1,267.85/1,900.91 = 434.69/x
  3. Step 3: Cross multiply
    1,267.85x = 1,900.91 × 434.69
  4. Step 4: Simplify right side
    1,267.85x = 826,305.28
  5. Step 5: Solve for x
    x = 826,305.28/1,267.85
  6. Step 6: Final answer
    x = 651.74

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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.