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Finding the Fourth Proportional to 931.05, 1,397.08 and 566.09

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Solution

The fourth proportional to 931.05, 1,397.08 and 566.09 is: 849.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    931.05 : 1,397.08 = 566.09 : x
  2. Step 2: Convert to fraction form
    931.05/1,397.08 = 566.09/x
  3. Step 3: Cross multiply
    931.05x = 1,397.08 × 566.09
  4. Step 4: Simplify right side
    931.05x = 790,874.34
  5. Step 5: Solve for x
    x = 790,874.34/931.05
  6. Step 6: Final answer
    x = 849.45

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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.