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Finding the Fourth Proportional to 1,729.91, 2,594.99 and 497.29

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Solution

The fourth proportional to 1,729.91, 2,594.99 and 497.29 is: 745.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,729.91 : 2,594.99 = 497.29 : x
  2. Step 2: Convert to fraction form
    1,729.91/2,594.99 = 497.29/x
  3. Step 3: Cross multiply
    1,729.91x = 2,594.99 × 497.29
  4. Step 4: Simplify right side
    1,729.91x = 1,290,462.58
  5. Step 5: Solve for x
    x = 1,290,462.58/1,729.91
  6. Step 6: Final answer
    x = 745.97

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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.