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Finding the Fourth Proportional to 1,521.79, 2,281.72 and 643.84

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Solution

The fourth proportional to 1,521.79, 2,281.72 and 643.84 is: 965.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,521.79 : 2,281.72 = 643.84 : x
  2. Step 2: Convert to fraction form
    1,521.79/2,281.72 = 643.84/x
  3. Step 3: Cross multiply
    1,521.79x = 2,281.72 × 643.84
  4. Step 4: Simplify right side
    1,521.79x = 1,469,047.98
  5. Step 5: Solve for x
    x = 1,469,047.98/1,521.79
  6. Step 6: Final answer
    x = 965.35

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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.