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Finding the Fourth Proportional to 1,018.23, 1,403.98 and 831.14

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Solution

The fourth proportional to 1,018.23, 1,403.98 and 831.14 is: 1,146.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,018.23 : 1,403.98 = 831.14 : x
  2. Step 2: Convert to fraction form
    1,018.23/1,403.98 = 831.14/x
  3. Step 3: Cross multiply
    1,018.23x = 1,403.98 × 831.14
  4. Step 4: Simplify right side
    1,018.23x = 1,166,903.94
  5. Step 5: Solve for x
    x = 1,166,903.94/1,018.23
  6. Step 6: Final answer
    x = 1,146.01

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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.