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Finding the Fourth Proportional to 1,188.17, 1,640.03 and 746.06

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Solution

The fourth proportional to 1,188.17, 1,640.03 and 746.06 is: 1,029.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,188.17 : 1,640.03 = 746.06 : x
  2. Step 2: Convert to fraction form
    1,188.17/1,640.03 = 746.06/x
  3. Step 3: Cross multiply
    1,188.17x = 1,640.03 × 746.06
  4. Step 4: Simplify right side
    1,188.17x = 1,223,561.15
  5. Step 5: Solve for x
    x = 1,223,561.15/1,188.17
  6. Step 6: Final answer
    x = 1,029.79

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Why These Related Problems?

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