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Finding the Fourth Proportional to 1,190.48, 1,785.71 and 497.63

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Solution

The fourth proportional to 1,190.48, 1,785.71 and 497.63 is: 746.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,190.48 : 1,785.71 = 497.63 : x
  2. Step 2: Convert to fraction form
    1,190.48/1,785.71 = 497.63/x
  3. Step 3: Cross multiply
    1,190.48x = 1,785.71 × 497.63
  4. Step 4: Simplify right side
    1,190.48x = 888,622.87
  5. Step 5: Solve for x
    x = 888,622.87/1,190.48
  6. Step 6: Final answer
    x = 746.44

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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.