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Finding the Fourth Proportional to 1,068.89, 1,474.35 and 804.02

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Solution

The fourth proportional to 1,068.89, 1,474.35 and 804.02 is: 1,109.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,068.89 : 1,474.35 = 804.02 : x
  2. Step 2: Convert to fraction form
    1,068.89/1,474.35 = 804.02/x
  3. Step 3: Cross multiply
    1,068.89x = 1,474.35 × 804.02
  4. Step 4: Simplify right side
    1,068.89x = 1,185,406.89
  5. Step 5: Solve for x
    x = 1,185,406.89/1,068.89
  6. Step 6: Final answer
    x = 1,109.01

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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.