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Finding the Fourth Proportional to 1,499.36, 2,068.96 and 836.16

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Solution

The fourth proportional to 1,499.36, 2,068.96 and 836.16 is: 1,153.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,499.36 : 2,068.96 = 836.16 : x
  2. Step 2: Convert to fraction form
    1,499.36/2,068.96 = 836.16/x
  3. Step 3: Cross multiply
    1,499.36x = 2,068.96 × 836.16
  4. Step 4: Simplify right side
    1,499.36x = 1,729,981.59
  5. Step 5: Solve for x
    x = 1,729,981.59/1,499.36
  6. Step 6: Final answer
    x = 1,153.81

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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.