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Finding the Fourth Proportional to 779.81, 1,168.92 and 506.08

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Solution

The fourth proportional to 779.81, 1,168.92 and 506.08 is: 758.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    779.81 : 1,168.92 = 506.08 : x
  2. Step 2: Convert to fraction form
    779.81/1,168.92 = 506.08/x
  3. Step 3: Cross multiply
    779.81x = 1,168.92 × 506.08
  4. Step 4: Simplify right side
    779.81x = 591,567.03
  5. Step 5: Solve for x
    x = 591,567.03/779.81
  6. Step 6: Final answer
    x = 758.60

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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.