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Finding the Fourth Proportional to 831.88, 1,146.96 and 635.08

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Solution

The fourth proportional to 831.88, 1,146.96 and 635.08 is: 875.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    831.88 : 1,146.96 = 635.08 : x
  2. Step 2: Convert to fraction form
    831.88/1,146.96 = 635.08/x
  3. Step 3: Cross multiply
    831.88x = 1,146.96 × 635.08
  4. Step 4: Simplify right side
    831.88x = 728,411.36
  5. Step 5: Solve for x
    x = 728,411.36/831.88
  6. Step 6: Final answer
    x = 875.62

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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.