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Finding the Fourth Proportional to 1,019.27, 1,406.58 and 553.52

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Solution

The fourth proportional to 1,019.27, 1,406.58 and 553.52 is: 763.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,019.27 : 1,406.58 = 553.52 : x
  2. Step 2: Convert to fraction form
    1,019.27/1,406.58 = 553.52/x
  3. Step 3: Cross multiply
    1,019.27x = 1,406.58 × 553.52
  4. Step 4: Simplify right side
    1,019.27x = 778,571.60
  5. Step 5: Solve for x
    x = 778,571.60/1,019.27
  6. Step 6: Final answer
    x = 763.85

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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.