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Finding the Fourth Proportional to 1,729.78, 2,594.23 and 497.19

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Solution

The fourth proportional to 1,729.78, 2,594.23 and 497.19 is: 745.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,729.78 : 2,594.23 = 497.19 : x
  2. Step 2: Convert to fraction form
    1,729.78/2,594.23 = 497.19/x
  3. Step 3: Cross multiply
    1,729.78x = 2,594.23 × 497.19
  4. Step 4: Simplify right side
    1,729.78x = 1,289,825.21
  5. Step 5: Solve for x
    x = 1,289,825.21/1,729.78
  6. Step 6: Final answer
    x = 745.66

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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.