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Finding the Fourth Proportional to 931.55, 1,397.83 and 566.59

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Solution

The fourth proportional to 931.55, 1,397.83 and 566.59 is: 850.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    931.55 : 1,397.83 = 566.59 : x
  2. Step 2: Convert to fraction form
    931.55/1,397.83 = 566.59/x
  3. Step 3: Cross multiply
    931.55x = 1,397.83 × 566.59
  4. Step 4: Simplify right side
    931.55x = 791,996.50
  5. Step 5: Solve for x
    x = 791,996.50/931.55
  6. Step 6: Final answer
    x = 850.20

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Why These Related Problems?

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