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Finding the Fourth Proportional to 1,001.36, 1,500.83 and 566.39

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Solution

The fourth proportional to 1,001.36, 1,500.83 and 566.39 is: 848.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,001.36 : 1,500.83 = 566.39 : x
  2. Step 2: Convert to fraction form
    1,001.36/1,500.83 = 566.39/x
  3. Step 3: Cross multiply
    1,001.36x = 1,500.83 × 566.39
  4. Step 4: Simplify right side
    1,001.36x = 850,058.15
  5. Step 5: Solve for x
    x = 850,058.15/1,001.36
  6. Step 6: Final answer
    x = 848.90

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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.