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Finding the Fourth Proportional to 764.40, 1,146.60 and 506.06

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Solution

The fourth proportional to 764.40, 1,146.60 and 506.06 is: 759.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    764.40 : 1,146.60 = 506.06 : x
  2. Step 2: Convert to fraction form
    764.40/1,146.60 = 506.06/x
  3. Step 3: Cross multiply
    764.40x = 1,146.60 × 506.06
  4. Step 4: Simplify right side
    764.40x = 580,248.40
  5. Step 5: Solve for x
    x = 580,248.40/764.40
  6. Step 6: Final answer
    x = 759.09

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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.