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Finding the Fourth Proportional to 1,190.17, 1,785.93 and 496.72

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Solution

The fourth proportional to 1,190.17, 1,785.93 and 496.72 is: 745.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,190.17 : 1,785.93 = 496.72 : x
  2. Step 2: Convert to fraction form
    1,190.17/1,785.93 = 496.72/x
  3. Step 3: Cross multiply
    1,190.17x = 1,785.93 × 496.72
  4. Step 4: Simplify right side
    1,190.17x = 887,107.15
  5. Step 5: Solve for x
    x = 887,107.15/1,190.17
  6. Step 6: Final answer
    x = 745.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.