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Finding the Fourth Proportional to 670.59, 1,006.08 and 566.81

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Solution

The fourth proportional to 670.59, 1,006.08 and 566.81 is: 850.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    670.59 : 1,006.08 = 566.81 : x
  2. Step 2: Convert to fraction form
    670.59/1,006.08 = 566.81/x
  3. Step 3: Cross multiply
    670.59x = 1,006.08 × 566.81
  4. Step 4: Simplify right side
    670.59x = 570,251.17
  5. Step 5: Solve for x
    x = 570,251.17/670.59
  6. Step 6: Final answer
    x = 850.37

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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.