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Finding the Fourth Proportional to 1,019.31, 1,406.66 and 553.56

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Solution

The fourth proportional to 1,019.31, 1,406.66 and 553.56 is: 763.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,019.31 : 1,406.66 = 553.56 : x
  2. Step 2: Convert to fraction form
    1,019.31/1,406.66 = 553.56/x
  3. Step 3: Cross multiply
    1,019.31x = 1,406.66 × 553.56
  4. Step 4: Simplify right side
    1,019.31x = 778,667.94
  5. Step 5: Solve for x
    x = 778,667.94/1,019.31
  6. Step 6: Final answer
    x = 763.92

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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.