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Finding the Fourth Proportional to 1,533.47, 2,299.96 and 559.57

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Solution

The fourth proportional to 1,533.47, 2,299.96 and 559.57 is: 839.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,533.47 : 2,299.96 = 559.57 : x
  2. Step 2: Convert to fraction form
    1,533.47/2,299.96 = 559.57/x
  3. Step 3: Cross multiply
    1,533.47x = 2,299.96 × 559.57
  4. Step 4: Simplify right side
    1,533.47x = 1,286,988.62
  5. Step 5: Solve for x
    x = 1,286,988.62/1,533.47
  6. Step 6: Final answer
    x = 839.27

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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.