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Finding the Fourth Proportional to 833.42, 1,150.17 and 484.22

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Solution

The fourth proportional to 833.42, 1,150.17 and 484.22 is: 668.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    833.42 : 1,150.17 = 484.22 : x
  2. Step 2: Convert to fraction form
    833.42/1,150.17 = 484.22/x
  3. Step 3: Cross multiply
    833.42x = 1,150.17 × 484.22
  4. Step 4: Simplify right side
    833.42x = 556,935.32
  5. Step 5: Solve for x
    x = 556,935.32/833.42
  6. Step 6: Final answer
    x = 668.25

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.