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Finding the Fourth Proportional to 1,019.94, 1,407.52 and 554.19

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Solution

The fourth proportional to 1,019.94, 1,407.52 and 554.19 is: 764.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,019.94 : 1,407.52 = 554.19 : x
  2. Step 2: Convert to fraction form
    1,019.94/1,407.52 = 554.19/x
  3. Step 3: Cross multiply
    1,019.94x = 1,407.52 × 554.19
  4. Step 4: Simplify right side
    1,019.94x = 780,033.51
  5. Step 5: Solve for x
    x = 780,033.51/1,019.94
  6. Step 6: Final answer
    x = 764.78

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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.