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Finding the Fourth Proportional to 1,085.20, 1,497.64 and 1,036

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Solution

The fourth proportional to 1,085.20, 1,497.64 and 1,036 is: 1,429.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,085.20 : 1,497.64 = 1,036 : x
  2. Step 2: Convert to fraction form
    1,085.20/1,497.64 = 1,036/x
  3. Step 3: Cross multiply
    1,085.20x = 1,497.64 × 1,036
  4. Step 4: Simplify right side
    1,085.20x = 1,551,555.04
  5. Step 5: Solve for x
    x = 1,551,555.04/1,085.20
  6. Step 6: Final answer
    x = 1,429.74

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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.