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Finding the Fourth Proportional to 1,525.37, 2,288.07 and 551.47

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Solution

The fourth proportional to 1,525.37, 2,288.07 and 551.47 is: 827.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,525.37 : 2,288.07 = 551.47 : x
  2. Step 2: Convert to fraction form
    1,525.37/2,288.07 = 551.47/x
  3. Step 3: Cross multiply
    1,525.37x = 2,288.07 × 551.47
  4. Step 4: Simplify right side
    1,525.37x = 1,261,799.21
  5. Step 5: Solve for x
    x = 1,261,799.21/1,525.37
  6. Step 6: Final answer
    x = 827.21

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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.