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Finding the Fourth Proportional to 936.98, 1,403.67 and 524.87

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Solution

The fourth proportional to 936.98, 1,403.67 and 524.87 is: 786.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    936.98 : 1,403.67 = 524.87 : x
  2. Step 2: Convert to fraction form
    936.98/1,403.67 = 524.87/x
  3. Step 3: Cross multiply
    936.98x = 1,403.67 × 524.87
  4. Step 4: Simplify right side
    936.98x = 736,744.27
  5. Step 5: Solve for x
    x = 736,744.27/936.98
  6. Step 6: Final answer
    x = 786.30

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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.