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Finding the Fourth Proportional to 1,764.43, 2,646.71 and 532.01

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Solution

The fourth proportional to 1,764.43, 2,646.71 and 532.01 is: 798.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,764.43 : 2,646.71 = 532.01 : x
  2. Step 2: Convert to fraction form
    1,764.43/2,646.71 = 532.01/x
  3. Step 3: Cross multiply
    1,764.43x = 2,646.71 × 532.01
  4. Step 4: Simplify right side
    1,764.43x = 1,408,082.14
  5. Step 5: Solve for x
    x = 1,408,082.14/1,764.43
  6. Step 6: Final answer
    x = 798.04

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.