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Finding the Fourth Proportional to 868.05, 1,300.73 and 456.57

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Solution

The fourth proportional to 868.05, 1,300.73 and 456.57 is: 684.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    868.05 : 1,300.73 = 456.57 : x
  2. Step 2: Convert to fraction form
    868.05/1,300.73 = 456.57/x
  3. Step 3: Cross multiply
    868.05x = 1,300.73 × 456.57
  4. Step 4: Simplify right side
    868.05x = 593,872.01
  5. Step 5: Solve for x
    x = 593,872.01/868.05
  6. Step 6: Final answer
    x = 684.14

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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.