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Finding the Fourth Proportional to 956.68, 1,322.66 and 664.13

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Solution

The fourth proportional to 956.68, 1,322.66 and 664.13 is: 918.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    956.68 : 1,322.66 = 664.13 : x
  2. Step 2: Convert to fraction form
    956.68/1,322.66 = 664.13/x
  3. Step 3: Cross multiply
    956.68x = 1,322.66 × 664.13
  4. Step 4: Simplify right side
    956.68x = 878,423.15
  5. Step 5: Solve for x
    x = 878,423.15/956.68
  6. Step 6: Final answer
    x = 918.20

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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.