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Finding the Fourth Proportional to 613.02, 923.69 and 507.18

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Solution

The fourth proportional to 613.02, 923.69 and 507.18 is: 764.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.02 : 923.69 = 507.18 : x
  2. Step 2: Convert to fraction form
    613.02/923.69 = 507.18/x
  3. Step 3: Cross multiply
    613.02x = 923.69 × 507.18
  4. Step 4: Simplify right side
    613.02x = 468,474.56
  5. Step 5: Solve for x
    x = 468,474.56/613.02
  6. Step 6: Final answer
    x = 764.21

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.