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Finding the Fourth Proportional to 1,246.52, 1,869.66 and 553.22

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Solution

The fourth proportional to 1,246.52, 1,869.66 and 553.22 is: 829.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,246.52 : 1,869.66 = 553.22 : x
  2. Step 2: Convert to fraction form
    1,246.52/1,869.66 = 553.22/x
  3. Step 3: Cross multiply
    1,246.52x = 1,869.66 × 553.22
  4. Step 4: Simplify right side
    1,246.52x = 1,034,323.96
  5. Step 5: Solve for x
    x = 1,034,323.96/1,246.52
  6. Step 6: Final answer
    x = 829.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.