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Finding the Fourth Proportional to 1,521.81, 2,282.99 and 644.76

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Solution

The fourth proportional to 1,521.81, 2,282.99 and 644.76 is: 967.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,521.81 : 2,282.99 = 644.76 : x
  2. Step 2: Convert to fraction form
    1,521.81/2,282.99 = 644.76/x
  3. Step 3: Cross multiply
    1,521.81x = 2,282.99 × 644.76
  4. Step 4: Simplify right side
    1,521.81x = 1,471,977.41
  5. Step 5: Solve for x
    x = 1,471,977.41/1,521.81
  6. Step 6: Final answer
    x = 967.25

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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.