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Finding the Fourth Proportional to 691.16, 1,034.34 and 566.32

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Solution

The fourth proportional to 691.16, 1,034.34 and 566.32 is: 847.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.16 : 1,034.34 = 566.32 : x
  2. Step 2: Convert to fraction form
    691.16/1,034.34 = 566.32/x
  3. Step 3: Cross multiply
    691.16x = 1,034.34 × 566.32
  4. Step 4: Simplify right side
    691.16x = 585,767.43
  5. Step 5: Solve for x
    x = 585,767.43/691.16
  6. Step 6: Final answer
    x = 847.51

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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.