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Finding the Fourth Proportional to 1,019.73, 1,407.21 and 553.98

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Solution

The fourth proportional to 1,019.73, 1,407.21 and 553.98 is: 764.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,019.73 : 1,407.21 = 553.98 : x
  2. Step 2: Convert to fraction form
    1,019.73/1,407.21 = 553.98/x
  3. Step 3: Cross multiply
    1,019.73x = 1,407.21 × 553.98
  4. Step 4: Simplify right side
    1,019.73x = 779,566.20
  5. Step 5: Solve for x
    x = 779,566.20/1,019.73
  6. Step 6: Final answer
    x = 764.48

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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.