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Finding the Fourth Proportional to 1,525.95, 2,288.82 and 601.68

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Solution

The fourth proportional to 1,525.95, 2,288.82 and 601.68 is: 902.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,525.95 : 2,288.82 = 601.68 : x
  2. Step 2: Convert to fraction form
    1,525.95/2,288.82 = 601.68/x
  3. Step 3: Cross multiply
    1,525.95x = 2,288.82 × 601.68
  4. Step 4: Simplify right side
    1,525.95x = 1,377,137.22
  5. Step 5: Solve for x
    x = 1,377,137.22/1,525.95
  6. Step 6: Final answer
    x = 902.48

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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.