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Finding the Fourth Proportional to 962, 1,328.20 and 594.64

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Solution

The fourth proportional to 962, 1,328.20 and 594.64 is: 821.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    962 : 1,328.20 = 594.64 : x
  2. Step 2: Convert to fraction form
    962/1,328.20 = 594.64/x
  3. Step 3: Cross multiply
    962x = 1,328.20 × 594.64
  4. Step 4: Simplify right side
    962x = 789,800.85
  5. Step 5: Solve for x
    x = 789,800.85/962
  6. Step 6: Final answer
    x = 821.00

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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.