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Finding the Fourth Proportional to 1,134.02, 1,564.97 and 636.67

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Solution

The fourth proportional to 1,134.02, 1,564.97 and 636.67 is: 878.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,134.02 : 1,564.97 = 636.67 : x
  2. Step 2: Convert to fraction form
    1,134.02/1,564.97 = 636.67/x
  3. Step 3: Cross multiply
    1,134.02x = 1,564.97 × 636.67
  4. Step 4: Simplify right side
    1,134.02x = 996,362.35
  5. Step 5: Solve for x
    x = 996,362.35/1,134.02
  6. Step 6: Final answer
    x = 878.61

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.