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Finding the Fourth Proportional to 690.93, 1,033.97 and 566.09

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Solution

The fourth proportional to 690.93, 1,033.97 and 566.09 is: 847.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.93 : 1,033.97 = 566.09 : x
  2. Step 2: Convert to fraction form
    690.93/1,033.97 = 566.09/x
  3. Step 3: Cross multiply
    690.93x = 1,033.97 × 566.09
  4. Step 4: Simplify right side
    690.93x = 585,320.08
  5. Step 5: Solve for x
    x = 585,320.08/690.93
  6. Step 6: Final answer
    x = 847.15

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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.