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Finding the Fourth Proportional to 1,014.15, 1,521.23 and 244.65

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Solution

The fourth proportional to 1,014.15, 1,521.23 and 244.65 is: 366.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,014.15 : 1,521.23 = 244.65 : x
  2. Step 2: Convert to fraction form
    1,014.15/1,521.23 = 244.65/x
  3. Step 3: Cross multiply
    1,014.15x = 1,521.23 × 244.65
  4. Step 4: Simplify right side
    1,014.15x = 372,167.70
  5. Step 5: Solve for x
    x = 372,167.70/1,014.15
  6. Step 6: Final answer
    x = 366.98

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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.