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Finding the Fourth Proportional to 1,014.49, 1,521.74 and 283.98

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Solution

The fourth proportional to 1,014.49, 1,521.74 and 283.98 is: 425.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,014.49 : 1,521.74 = 283.98 : x
  2. Step 2: Convert to fraction form
    1,014.49/1,521.74 = 283.98/x
  3. Step 3: Cross multiply
    1,014.49x = 1,521.74 × 283.98
  4. Step 4: Simplify right side
    1,014.49x = 432,143.73
  5. Step 5: Solve for x
    x = 432,143.73/1,014.49
  6. Step 6: Final answer
    x = 425.97

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Why These Related Problems?

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