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Finding the Fourth Proportional to 1,004.74, 1,508.15 and 566.39

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Solution

The fourth proportional to 1,004.74, 1,508.15 and 566.39 is: 850.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,004.74 : 1,508.15 = 566.39 : x
  2. Step 2: Convert to fraction form
    1,004.74/1,508.15 = 566.39/x
  3. Step 3: Cross multiply
    1,004.74x = 1,508.15 × 566.39
  4. Step 4: Simplify right side
    1,004.74x = 854,206.26
  5. Step 5: Solve for x
    x = 854,206.26/1,004.74
  6. Step 6: Final answer
    x = 850.18

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