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Finding the Fourth Proportional to 574.65, 787.50 and 519.30

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Solution

The fourth proportional to 574.65, 787.50 and 519.30 is: 711.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.65 : 787.50 = 519.30 : x
  2. Step 2: Convert to fraction form
    574.65/787.50 = 519.30/x
  3. Step 3: Cross multiply
    574.65x = 787.50 × 519.30
  4. Step 4: Simplify right side
    574.65x = 408,945.55
  5. Step 5: Solve for x
    x = 408,945.55/574.65
  6. Step 6: Final answer
    x = 711.64

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.