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Finding the Fourth Proportional to 1,729.71, 2,594.67 and 497.09

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Solution

The fourth proportional to 1,729.71, 2,594.67 and 497.09 is: 745.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,729.71 : 2,594.67 = 497.09 : x
  2. Step 2: Convert to fraction form
    1,729.71/2,594.67 = 497.09/x
  3. Step 3: Cross multiply
    1,729.71x = 2,594.67 × 497.09
  4. Step 4: Simplify right side
    1,729.71x = 1,289,789.13
  5. Step 5: Solve for x
    x = 1,289,789.13/1,729.71
  6. Step 6: Final answer
    x = 745.67

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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.