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Finding the Fourth Proportional to 831.53, 1,147.51 and 499.95

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Solution

The fourth proportional to 831.53, 1,147.51 and 499.95 is: 689.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    831.53 : 1,147.51 = 499.95 : x
  2. Step 2: Convert to fraction form
    831.53/1,147.51 = 499.95/x
  3. Step 3: Cross multiply
    831.53x = 1,147.51 × 499.95
  4. Step 4: Simplify right side
    831.53x = 573,697.62
  5. Step 5: Solve for x
    x = 573,697.62/831.53
  6. Step 6: Final answer
    x = 689.93

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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.