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Finding the Fourth Proportional to 618.04, 923.15 and 520.84

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Solution

The fourth proportional to 618.04, 923.15 and 520.84 is: 777.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    618.04 : 923.15 = 520.84 : x
  2. Step 2: Convert to fraction form
    618.04/923.15 = 520.84/x
  3. Step 3: Cross multiply
    618.04x = 923.15 × 520.84
  4. Step 4: Simplify right side
    618.04x = 480,813.45
  5. Step 5: Solve for x
    x = 480,813.45/618.04
  6. Step 6: Final answer
    x = 777.96

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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.