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Finding the Fourth Proportional to 868.52, 1,301.81 and 456.77

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Solution

The fourth proportional to 868.52, 1,301.81 and 456.77 is: 684.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    868.52 : 1,301.81 = 456.77 : x
  2. Step 2: Convert to fraction form
    868.52/1,301.81 = 456.77/x
  3. Step 3: Cross multiply
    868.52x = 1,301.81 × 456.77
  4. Step 4: Simplify right side
    868.52x = 594,628.72
  5. Step 5: Solve for x
    x = 594,628.72/868.52
  6. Step 6: Final answer
    x = 684.64

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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.