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Finding the Fourth Proportional to 956.56, 1,322.16 and 696.40

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Solution

The fourth proportional to 956.56, 1,322.16 and 696.40 is: 962.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    956.56 : 1,322.16 = 696.40 : x
  2. Step 2: Convert to fraction form
    956.56/1,322.16 = 696.40/x
  3. Step 3: Cross multiply
    956.56x = 1,322.16 × 696.40
  4. Step 4: Simplify right side
    956.56x = 920,752.22
  5. Step 5: Solve for x
    x = 920,752.22/956.56
  6. Step 6: Final answer
    x = 962.57

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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.