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Finding the Fourth Proportional to 1,247.27, 1,870.96 and 553.82

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Solution

The fourth proportional to 1,247.27, 1,870.96 and 553.82 is: 830.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,247.27 : 1,870.96 = 553.82 : x
  2. Step 2: Convert to fraction form
    1,247.27/1,870.96 = 553.82/x
  3. Step 3: Cross multiply
    1,247.27x = 1,870.96 × 553.82
  4. Step 4: Simplify right side
    1,247.27x = 1,036,164.33
  5. Step 5: Solve for x
    x = 1,036,164.33/1,247.27
  6. Step 6: Final answer
    x = 830.74

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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.