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Finding the Fourth Proportional to 1,133.06, 1,686.96 and 1,116.86

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Solution

The fourth proportional to 1,133.06, 1,686.96 and 1,116.86 is: 1,662.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,133.06 : 1,686.96 = 1,116.86 : x
  2. Step 2: Convert to fraction form
    1,133.06/1,686.96 = 1,116.86/x
  3. Step 3: Cross multiply
    1,133.06x = 1,686.96 × 1,116.86
  4. Step 4: Simplify right side
    1,133.06x = 1,884,098.15
  5. Step 5: Solve for x
    x = 1,884,098.15/1,133.06
  6. Step 6: Final answer
    x = 1,662.84

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.