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Finding the Fourth Proportional to 1,352.14, 1,865.76 and 828.04

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Solution

The fourth proportional to 1,352.14, 1,865.76 and 828.04 is: 1,142.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,352.14 : 1,865.76 = 828.04 : x
  2. Step 2: Convert to fraction form
    1,352.14/1,865.76 = 828.04/x
  3. Step 3: Cross multiply
    1,352.14x = 1,865.76 × 828.04
  4. Step 4: Simplify right side
    1,352.14x = 1,544,923.91
  5. Step 5: Solve for x
    x = 1,544,923.91/1,352.14
  6. Step 6: Final answer
    x = 1,142.58

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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.