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Finding the Fourth Proportional to 1,188.06, 1,640.43 and 926.70

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Solution

The fourth proportional to 1,188.06, 1,640.43 and 926.70 is: 1,279.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,188.06 : 1,640.43 = 926.70 : x
  2. Step 2: Convert to fraction form
    1,188.06/1,640.43 = 926.70/x
  3. Step 3: Cross multiply
    1,188.06x = 1,640.43 × 926.70
  4. Step 4: Simplify right side
    1,188.06x = 1,520,186.48
  5. Step 5: Solve for x
    x = 1,520,186.48/1,188.06
  6. Step 6: Final answer
    x = 1,279.55

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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.