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Finding the Fourth Proportional to 831.72, 1,245.98 and 506.28

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Solution

The fourth proportional to 831.72, 1,245.98 and 506.28 is: 758.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    831.72 : 1,245.98 = 506.28 : x
  2. Step 2: Convert to fraction form
    831.72/1,245.98 = 506.28/x
  3. Step 3: Cross multiply
    831.72x = 1,245.98 × 506.28
  4. Step 4: Simplify right side
    831.72x = 630,814.75
  5. Step 5: Solve for x
    x = 630,814.75/831.72
  6. Step 6: Final answer
    x = 758.45

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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.