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Finding the Fourth Proportional to 778.96, 1,169.88 and 522.64

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Solution

The fourth proportional to 778.96, 1,169.88 and 522.64 is: 784.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    778.96 : 1,169.88 = 522.64 : x
  2. Step 2: Convert to fraction form
    778.96/1,169.88 = 522.64/x
  3. Step 3: Cross multiply
    778.96x = 1,169.88 × 522.64
  4. Step 4: Simplify right side
    778.96x = 611,426.08
  5. Step 5: Solve for x
    x = 611,426.08/778.96
  6. Step 6: Final answer
    x = 784.93

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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.