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Finding the Fourth Proportional to 867.16, 1,300.80 and 289.84

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Solution

The fourth proportional to 867.16, 1,300.80 and 289.84 is: 434.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    867.16 : 1,300.80 = 289.84 : x
  2. Step 2: Convert to fraction form
    867.16/1,300.80 = 289.84/x
  3. Step 3: Cross multiply
    867.16x = 1,300.80 × 289.84
  4. Step 4: Simplify right side
    867.16x = 377,023.87
  5. Step 5: Solve for x
    x = 377,023.87/867.16
  6. Step 6: Final answer
    x = 434.78

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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.