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Finding the Fourth Proportional to 1,247.24, 1,870.66 and 425.54

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Solution

The fourth proportional to 1,247.24, 1,870.66 and 425.54 is: 638.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,247.24 : 1,870.66 = 425.54 : x
  2. Step 2: Convert to fraction form
    1,247.24/1,870.66 = 425.54/x
  3. Step 3: Cross multiply
    1,247.24x = 1,870.66 × 425.54
  4. Step 4: Simplify right side
    1,247.24x = 796,040.66
  5. Step 5: Solve for x
    x = 796,040.66/1,247.24
  6. Step 6: Final answer
    x = 638.24

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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.