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Finding the Fourth Proportional to 1,521.94, 2,282.88 and 596.84

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Solution

The fourth proportional to 1,521.94, 2,282.88 and 596.84 is: 895.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,521.94 : 2,282.88 = 596.84 : x
  2. Step 2: Convert to fraction form
    1,521.94/2,282.88 = 596.84/x
  3. Step 3: Cross multiply
    1,521.94x = 2,282.88 × 596.84
  4. Step 4: Simplify right side
    1,521.94x = 1,362,504.92
  5. Step 5: Solve for x
    x = 1,362,504.92/1,521.94
  6. Step 6: Final answer
    x = 895.24

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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.