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Finding the Fourth Proportional to 1,523.09, 2,284.89 and 535.87

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Solution

The fourth proportional to 1,523.09, 2,284.89 and 535.87 is: 803.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,523.09 : 2,284.89 = 535.87 : x
  2. Step 2: Convert to fraction form
    1,523.09/2,284.89 = 535.87/x
  3. Step 3: Cross multiply
    1,523.09x = 2,284.89 × 535.87
  4. Step 4: Simplify right side
    1,523.09x = 1,224,395.01
  5. Step 5: Solve for x
    x = 1,224,395.01/1,523.09
  6. Step 6: Final answer
    x = 803.89

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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.