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Finding the Fourth Proportional to 1,077.29, 1,487.37 and 828.16

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Solution

The fourth proportional to 1,077.29, 1,487.37 and 828.16 is: 1,143.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,077.29 : 1,487.37 = 828.16 : x
  2. Step 2: Convert to fraction form
    1,077.29/1,487.37 = 828.16/x
  3. Step 3: Cross multiply
    1,077.29x = 1,487.37 × 828.16
  4. Step 4: Simplify right side
    1,077.29x = 1,231,780.34
  5. Step 5: Solve for x
    x = 1,231,780.34/1,077.29
  6. Step 6: Final answer
    x = 1,143.41

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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.