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Finding the Fourth Proportional to 524.07, 784.56 and 519.99

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Solution

The fourth proportional to 524.07, 784.56 and 519.99 is: 778.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.07 : 784.56 = 519.99 : x
  2. Step 2: Convert to fraction form
    524.07/784.56 = 519.99/x
  3. Step 3: Cross multiply
    524.07x = 784.56 × 519.99
  4. Step 4: Simplify right side
    524.07x = 407,963.35
  5. Step 5: Solve for x
    x = 407,963.35/524.07
  6. Step 6: Final answer
    x = 778.45

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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.