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Finding the Fourth Proportional to 647.60, 894.03 and 426.92

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Solution

The fourth proportional to 647.60, 894.03 and 426.92 is: 589.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.60 : 894.03 = 426.92 : x
  2. Step 2: Convert to fraction form
    647.60/894.03 = 426.92/x
  3. Step 3: Cross multiply
    647.60x = 894.03 × 426.92
  4. Step 4: Simplify right side
    647.60x = 381,679.29
  5. Step 5: Solve for x
    x = 381,679.29/647.60
  6. Step 6: Final answer
    x = 589.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.