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Finding the Fourth Proportional to 1,270.78, 1,752.51 and 828.52

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Solution

The fourth proportional to 1,270.78, 1,752.51 and 828.52 is: 1,142.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,270.78 : 1,752.51 = 828.52 : x
  2. Step 2: Convert to fraction form
    1,270.78/1,752.51 = 828.52/x
  3. Step 3: Cross multiply
    1,270.78x = 1,752.51 × 828.52
  4. Step 4: Simplify right side
    1,270.78x = 1,451,989.59
  5. Step 5: Solve for x
    x = 1,451,989.59/1,270.78
  6. Step 6: Final answer
    x = 1,142.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.