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Finding the Fourth Proportional to 1,729.74, 2,594.56 and 431.18

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Solution

The fourth proportional to 1,729.74, 2,594.56 and 431.18 is: 646.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,729.74 : 2,594.56 = 431.18 : x
  2. Step 2: Convert to fraction form
    1,729.74/2,594.56 = 431.18/x
  3. Step 3: Cross multiply
    1,729.74x = 2,594.56 × 431.18
  4. Step 4: Simplify right side
    1,729.74x = 1,118,722.38
  5. Step 5: Solve for x
    x = 1,118,722.38/1,729.74
  6. Step 6: Final answer
    x = 646.76

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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.