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Finding the Fourth Proportional to 1,764.57, 2,646.98 and 531.98

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Solution

The fourth proportional to 1,764.57, 2,646.98 and 531.98 is: 798.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,764.57 : 2,646.98 = 531.98 : x
  2. Step 2: Convert to fraction form
    1,764.57/2,646.98 = 531.98/x
  3. Step 3: Cross multiply
    1,764.57x = 2,646.98 × 531.98
  4. Step 4: Simplify right side
    1,764.57x = 1,408,140.42
  5. Step 5: Solve for x
    x = 1,408,140.42/1,764.57
  6. Step 6: Final answer
    x = 798.01

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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.