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Finding the Fourth Proportional to 1,325.80, 1,828.38 and 828.28

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Solution

The fourth proportional to 1,325.80, 1,828.38 and 828.28 is: 1,142.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,325.80 : 1,828.38 = 828.28 : x
  2. Step 2: Convert to fraction form
    1,325.80/1,828.38 = 828.28/x
  3. Step 3: Cross multiply
    1,325.80x = 1,828.38 × 828.28
  4. Step 4: Simplify right side
    1,325.80x = 1,514,410.59
  5. Step 5: Solve for x
    x = 1,514,410.59/1,325.80
  6. Step 6: Final answer
    x = 1,142.26

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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.