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Finding the Fourth Proportional to 1,035.12, 1,556.64 and 827.40

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Solution

The fourth proportional to 1,035.12, 1,556.64 and 827.40 is: 1,244.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,035.12 : 1,556.64 = 827.40 : x
  2. Step 2: Convert to fraction form
    1,035.12/1,556.64 = 827.40/x
  3. Step 3: Cross multiply
    1,035.12x = 1,556.64 × 827.40
  4. Step 4: Simplify right side
    1,035.12x = 1,287,963.94
  5. Step 5: Solve for x
    x = 1,287,963.94/1,035.12
  6. Step 6: Final answer
    x = 1,244.27

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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.