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Finding the Fourth Proportional to 1,729.52, 2,594.64 and 575.24

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Solution

The fourth proportional to 1,729.52, 2,594.64 and 575.24 is: 862.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,729.52 : 2,594.64 = 575.24 : x
  2. Step 2: Convert to fraction form
    1,729.52/2,594.64 = 575.24/x
  3. Step 3: Cross multiply
    1,729.52x = 2,594.64 × 575.24
  4. Step 4: Simplify right side
    1,729.52x = 1,492,540.71
  5. Step 5: Solve for x
    x = 1,492,540.71/1,729.52
  6. Step 6: Final answer
    x = 862.98

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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.