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Finding the Fourth Proportional to 831.89, 1,147.97 and 500.50

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Solution

The fourth proportional to 831.89, 1,147.97 and 500.50 is: 690.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    831.89 : 1,147.97 = 500.50 : x
  2. Step 2: Convert to fraction form
    831.89/1,147.97 = 500.50/x
  3. Step 3: Cross multiply
    831.89x = 1,147.97 × 500.50
  4. Step 4: Simplify right side
    831.89x = 574,557.37
  5. Step 5: Solve for x
    x = 574,557.37/831.89
  6. Step 6: Final answer
    x = 690.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.