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Finding the Fourth Proportional to 612.80, 919.04 and 520.64

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Solution

The fourth proportional to 612.80, 919.04 and 520.64 is: 780.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.80 : 919.04 = 520.64 : x
  2. Step 2: Convert to fraction form
    612.80/919.04 = 520.64/x
  3. Step 3: Cross multiply
    612.80x = 919.04 × 520.64
  4. Step 4: Simplify right side
    612.80x = 478,488.99
  5. Step 5: Solve for x
    x = 478,488.99/612.80
  6. Step 6: Final answer
    x = 780.82

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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.