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Finding the Fourth Proportional to 1,103.10, 1,655.61 and 816.06

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Solution

The fourth proportional to 1,103.10, 1,655.61 and 816.06 is: 1,224.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,103.10 : 1,655.61 = 816.06 : x
  2. Step 2: Convert to fraction form
    1,103.10/1,655.61 = 816.06/x
  3. Step 3: Cross multiply
    1,103.10x = 1,655.61 × 816.06
  4. Step 4: Simplify right side
    1,103.10x = 1,351,077.10
  5. Step 5: Solve for x
    x = 1,351,077.10/1,103.10
  6. Step 6: Final answer
    x = 1,224.80

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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.