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Finding the Fourth Proportional to 1,020.50, 1,530.75 and 251

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Solution

The fourth proportional to 1,020.50, 1,530.75 and 251 is: 376.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,020.50 : 1,530.75 = 251 : x
  2. Step 2: Convert to fraction form
    1,020.50/1,530.75 = 251/x
  3. Step 3: Cross multiply
    1,020.50x = 1,530.75 × 251
  4. Step 4: Simplify right side
    1,020.50x = 384,218.25
  5. Step 5: Solve for x
    x = 384,218.25/1,020.50
  6. Step 6: Final answer
    x = 376.50

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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.