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Finding the Fourth Proportional to 1,325.17, 1,828.37 and 828.32

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Solution

The fourth proportional to 1,325.17, 1,828.37 and 828.32 is: 1,142.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,325.17 : 1,828.37 = 828.32 : x
  2. Step 2: Convert to fraction form
    1,325.17/1,828.37 = 828.32/x
  3. Step 3: Cross multiply
    1,325.17x = 1,828.37 × 828.32
  4. Step 4: Simplify right side
    1,325.17x = 1,514,462.15
  5. Step 5: Solve for x
    x = 1,514,462.15/1,325.17
  6. Step 6: Final answer
    x = 1,142.84

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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.