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Finding the Fourth Proportional to 1,147.06, 1,719.78 and 497.44

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Solution

The fourth proportional to 1,147.06, 1,719.78 and 497.44 is: 745.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,147.06 : 1,719.78 = 497.44 : x
  2. Step 2: Convert to fraction form
    1,147.06/1,719.78 = 497.44/x
  3. Step 3: Cross multiply
    1,147.06x = 1,719.78 × 497.44
  4. Step 4: Simplify right side
    1,147.06x = 855,487.36
  5. Step 5: Solve for x
    x = 855,487.36/1,147.06
  6. Step 6: Final answer
    x = 745.81

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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.