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Finding the Fourth Proportional to 1,729.67, 2,594.49 and 431.13

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Solution

The fourth proportional to 1,729.67, 2,594.49 and 431.13 is: 646.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,729.67 : 2,594.49 = 431.13 : x
  2. Step 2: Convert to fraction form
    1,729.67/2,594.49 = 431.13/x
  3. Step 3: Cross multiply
    1,729.67x = 2,594.49 × 431.13
  4. Step 4: Simplify right side
    1,729.67x = 1,118,562.47
  5. Step 5: Solve for x
    x = 1,118,562.47/1,729.67
  6. Step 6: Final answer
    x = 646.69

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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.