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Finding the Fourth Proportional to 1,525.62, 2,288.42 and 429.88

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Solution

The fourth proportional to 1,525.62, 2,288.42 and 429.88 is: 644.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,525.62 : 2,288.42 = 429.88 : x
  2. Step 2: Convert to fraction form
    1,525.62/2,288.42 = 429.88/x
  3. Step 3: Cross multiply
    1,525.62x = 2,288.42 × 429.88
  4. Step 4: Simplify right side
    1,525.62x = 983,745.99
  5. Step 5: Solve for x
    x = 983,745.99/1,525.62
  6. Step 6: Final answer
    x = 644.82

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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.