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Finding the Fourth Proportional to 1,729.99, 2,594.60 and 497.13

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Solution

The fourth proportional to 1,729.99, 2,594.60 and 497.13 is: 745.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,729.99 : 2,594.60 = 497.13 : x
  2. Step 2: Convert to fraction form
    1,729.99/2,594.60 = 497.13/x
  3. Step 3: Cross multiply
    1,729.99x = 2,594.60 × 497.13
  4. Step 4: Simplify right side
    1,729.99x = 1,289,845.94
  5. Step 5: Solve for x
    x = 1,289,845.94/1,729.99
  6. Step 6: Final answer
    x = 745.58

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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.