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Finding the Fourth Proportional to 867.49, 1,299.61 and 434.95

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Solution

The fourth proportional to 867.49, 1,299.61 and 434.95 is: 651.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    867.49 : 1,299.61 = 434.95 : x
  2. Step 2: Convert to fraction form
    867.49/1,299.61 = 434.95/x
  3. Step 3: Cross multiply
    867.49x = 1,299.61 × 434.95
  4. Step 4: Simplify right side
    867.49x = 565,265.37
  5. Step 5: Solve for x
    x = 565,265.37/867.49
  6. Step 6: Final answer
    x = 651.61

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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.