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Finding the Fourth Proportional to 1,126.08, 1,688.63 and 664.79

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Solution

The fourth proportional to 1,126.08, 1,688.63 and 664.79 is: 996.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,126.08 : 1,688.63 = 664.79 : x
  2. Step 2: Convert to fraction form
    1,126.08/1,688.63 = 664.79/x
  3. Step 3: Cross multiply
    1,126.08x = 1,688.63 × 664.79
  4. Step 4: Simplify right side
    1,126.08x = 1,122,572.57
  5. Step 5: Solve for x
    x = 1,122,572.57/1,126.08
  6. Step 6: Final answer
    x = 996.89

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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.