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Finding the Fourth Proportional to 528.90, 787.62 and 519.78

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Solution

The fourth proportional to 528.90, 787.62 and 519.78 is: 774.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    528.90 : 787.62 = 519.78 : x
  2. Step 2: Convert to fraction form
    528.90/787.62 = 519.78/x
  3. Step 3: Cross multiply
    528.90x = 787.62 × 519.78
  4. Step 4: Simplify right side
    528.90x = 409,389.12
  5. Step 5: Solve for x
    x = 409,389.12/528.90
  6. Step 6: Final answer
    x = 774.04

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.