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Finding the Fourth Proportional to 1,019.78, 1,407.32 and 554.03

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Solution

The fourth proportional to 1,019.78, 1,407.32 and 554.03 is: 764.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,019.78 : 1,407.32 = 554.03 : x
  2. Step 2: Convert to fraction form
    1,019.78/1,407.32 = 554.03/x
  3. Step 3: Cross multiply
    1,019.78x = 1,407.32 × 554.03
  4. Step 4: Simplify right side
    1,019.78x = 779,694.73
  5. Step 5: Solve for x
    x = 779,694.73/1,019.78
  6. Step 6: Final answer
    x = 764.57

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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.