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Finding the Fourth Proportional to 778.16, 1,165.68 and 573.26

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Solution

The fourth proportional to 778.16, 1,165.68 and 573.26 is: 858.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    778.16 : 1,165.68 = 573.26 : x
  2. Step 2: Convert to fraction form
    778.16/1,165.68 = 573.26/x
  3. Step 3: Cross multiply
    778.16x = 1,165.68 × 573.26
  4. Step 4: Simplify right side
    778.16x = 668,237.72
  5. Step 5: Solve for x
    x = 668,237.72/778.16
  6. Step 6: Final answer
    x = 858.74

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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.