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Finding the Fourth Proportional to 1,324.78, 1,829.08 and 828.12

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Solution

The fourth proportional to 1,324.78, 1,829.08 and 828.12 is: 1,143.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,324.78 : 1,829.08 = 828.12 : x
  2. Step 2: Convert to fraction form
    1,324.78/1,829.08 = 828.12/x
  3. Step 3: Cross multiply
    1,324.78x = 1,829.08 × 828.12
  4. Step 4: Simplify right side
    1,324.78x = 1,514,697.73
  5. Step 5: Solve for x
    x = 1,514,697.73/1,324.78
  6. Step 6: Final answer
    x = 1,143.36

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1.5x scale

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.