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Finding the Fourth Proportional to 966.69, 1,334.33 and 656.37

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Solution

The fourth proportional to 966.69, 1,334.33 and 656.37 is: 905.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    966.69 : 1,334.33 = 656.37 : x
  2. Step 2: Convert to fraction form
    966.69/1,334.33 = 656.37/x
  3. Step 3: Cross multiply
    966.69x = 1,334.33 × 656.37
  4. Step 4: Simplify right side
    966.69x = 875,810.90
  5. Step 5: Solve for x
    x = 875,810.90/966.69
  6. Step 6: Final answer
    x = 905.99

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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.