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Finding the Fourth Proportional to 613.07, 918.68 and 524.75

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Solution

The fourth proportional to 613.07, 918.68 and 524.75 is: 786.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.07 : 918.68 = 524.75 : x
  2. Step 2: Convert to fraction form
    613.07/918.68 = 524.75/x
  3. Step 3: Cross multiply
    613.07x = 918.68 × 524.75
  4. Step 4: Simplify right side
    613.07x = 482,074.05
  5. Step 5: Solve for x
    x = 482,074.05/613.07
  6. Step 6: Final answer
    x = 786.33

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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.