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Finding the Fourth Proportional to 955.82, 1,434.16 and 566.59

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Solution

The fourth proportional to 955.82, 1,434.16 and 566.59 is: 850.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    955.82 : 1,434.16 = 566.59 : x
  2. Step 2: Convert to fraction form
    955.82/1,434.16 = 566.59/x
  3. Step 3: Cross multiply
    955.82x = 1,434.16 × 566.59
  4. Step 4: Simplify right side
    955.82x = 812,573.54
  5. Step 5: Solve for x
    x = 812,573.54/955.82
  6. Step 6: Final answer
    x = 850.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.