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Finding the Fourth Proportional to 831.64, 1,247.45 and 649.19

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Solution

The fourth proportional to 831.64, 1,247.45 and 649.19 is: 973.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    831.64 : 1,247.45 = 649.19 : x
  2. Step 2: Convert to fraction form
    831.64/1,247.45 = 649.19/x
  3. Step 3: Cross multiply
    831.64x = 1,247.45 × 649.19
  4. Step 4: Simplify right side
    831.64x = 809,827.45
  5. Step 5: Solve for x
    x = 809,827.45/831.64
  6. Step 6: Final answer
    x = 973.77

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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.