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Finding the Fourth Proportional to 956.64, 1,320.22 and 536.97

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Solution

The fourth proportional to 956.64, 1,320.22 and 536.97 is: 741.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    956.64 : 1,320.22 = 536.97 : x
  2. Step 2: Convert to fraction form
    956.64/1,320.22 = 536.97/x
  3. Step 3: Cross multiply
    956.64x = 1,320.22 × 536.97
  4. Step 4: Simplify right side
    956.64x = 708,918.53
  5. Step 5: Solve for x
    x = 708,918.53/956.64
  6. Step 6: Final answer
    x = 741.05

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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.