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Finding the Fourth Proportional to 1,036.04, 1,551.66 and 817.80

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Solution

The fourth proportional to 1,036.04, 1,551.66 and 817.80 is: 1,224.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,036.04 : 1,551.66 = 817.80 : x
  2. Step 2: Convert to fraction form
    1,036.04/1,551.66 = 817.80/x
  3. Step 3: Cross multiply
    1,036.04x = 1,551.66 × 817.80
  4. Step 4: Simplify right side
    1,036.04x = 1,268,947.55
  5. Step 5: Solve for x
    x = 1,268,947.55/1,036.04
  6. Step 6: Final answer
    x = 1,224.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.