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Finding the Fourth Proportional to 1,729.88, 2,594.82 and 431.35

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Solution

The fourth proportional to 1,729.88, 2,594.82 and 431.35 is: 647.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,729.88 : 2,594.82 = 431.35 : x
  2. Step 2: Convert to fraction form
    1,729.88/2,594.82 = 431.35/x
  3. Step 3: Cross multiply
    1,729.88x = 2,594.82 × 431.35
  4. Step 4: Simplify right side
    1,729.88x = 1,119,275.61
  5. Step 5: Solve for x
    x = 1,119,275.61/1,729.88
  6. Step 6: Final answer
    x = 647.03

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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.