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Finding the Fourth Proportional to 615.66, 923.61 and 519.07

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Solution

The fourth proportional to 615.66, 923.61 and 519.07 is: 778.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    615.66 : 923.61 = 519.07 : x
  2. Step 2: Convert to fraction form
    615.66/923.61 = 519.07/x
  3. Step 3: Cross multiply
    615.66x = 923.61 × 519.07
  4. Step 4: Simplify right side
    615.66x = 479,418.36
  5. Step 5: Solve for x
    x = 479,418.36/615.66
  6. Step 6: Final answer
    x = 778.70

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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.