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Finding the Fourth Proportional to 1,019.63, 1,407.09 and 553.88

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Solution

The fourth proportional to 1,019.63, 1,407.09 and 553.88 is: 764.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,019.63 : 1,407.09 = 553.88 : x
  2. Step 2: Convert to fraction form
    1,019.63/1,407.09 = 553.88/x
  3. Step 3: Cross multiply
    1,019.63x = 1,407.09 × 553.88
  4. Step 4: Simplify right side
    1,019.63x = 779,351.97
  5. Step 5: Solve for x
    x = 779,351.97/1,019.63
  6. Step 6: Final answer
    x = 764.35

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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.