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Finding the Fourth Proportional to 831.53, 1,148.68 and 599.87

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Solution

The fourth proportional to 831.53, 1,148.68 and 599.87 is: 828.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    831.53 : 1,148.68 = 599.87 : x
  2. Step 2: Convert to fraction form
    831.53/1,148.68 = 599.87/x
  3. Step 3: Cross multiply
    831.53x = 1,148.68 × 599.87
  4. Step 4: Simplify right side
    831.53x = 689,062.29
  5. Step 5: Solve for x
    x = 689,062.29/831.53
  6. Step 6: Final answer
    x = 828.67

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