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Finding the Fourth Proportional to 641.77, 962.06 and 584.71

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Solution

The fourth proportional to 641.77, 962.06 and 584.71 is: 876.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    641.77 : 962.06 = 584.71 : x
  2. Step 2: Convert to fraction form
    641.77/962.06 = 584.71/x
  3. Step 3: Cross multiply
    641.77x = 962.06 × 584.71
  4. Step 4: Simplify right side
    641.77x = 562,520.77
  5. Step 5: Solve for x
    x = 562,520.77/641.77
  6. Step 6: Final answer
    x = 876.51

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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.