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Finding the Fourth Proportional to 1,076.63, 1,615.49 and 816.55

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Solution

The fourth proportional to 1,076.63, 1,615.49 and 816.55 is: 1,225.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,076.63 : 1,615.49 = 816.55 : x
  2. Step 2: Convert to fraction form
    1,076.63/1,615.49 = 816.55/x
  3. Step 3: Cross multiply
    1,076.63x = 1,615.49 × 816.55
  4. Step 4: Simplify right side
    1,076.63x = 1,319,128.36
  5. Step 5: Solve for x
    x = 1,319,128.36/1,076.63
  6. Step 6: Final answer
    x = 1,225.24

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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.