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Finding the Fourth Proportional to 522.78, 784.38 and 514.60

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Solution

The fourth proportional to 522.78, 784.38 and 514.60 is: 772.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.78 : 784.38 = 514.60 : x
  2. Step 2: Convert to fraction form
    522.78/784.38 = 514.60/x
  3. Step 3: Cross multiply
    522.78x = 784.38 × 514.60
  4. Step 4: Simplify right side
    522.78x = 403,641.95
  5. Step 5: Solve for x
    x = 403,641.95/522.78
  6. Step 6: Final answer
    x = 772.11

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.