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Finding the Fourth Proportional to 1,505.50, 2,257.95 and 531.64

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Solution

The fourth proportional to 1,505.50, 2,257.95 and 531.64 is: 797.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,505.50 : 2,257.95 = 531.64 : x
  2. Step 2: Convert to fraction form
    1,505.50/2,257.95 = 531.64/x
  3. Step 3: Cross multiply
    1,505.50x = 2,257.95 × 531.64
  4. Step 4: Simplify right side
    1,505.50x = 1,200,416.54
  5. Step 5: Solve for x
    x = 1,200,416.54/1,505.50
  6. Step 6: Final answer
    x = 797.35

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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.