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Finding the Fourth Proportional to 1,103.63, 1,655.44 and 795.83

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Solution

The fourth proportional to 1,103.63, 1,655.44 and 795.83 is: 1,193.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,103.63 : 1,655.44 = 795.83 : x
  2. Step 2: Convert to fraction form
    1,103.63/1,655.44 = 795.83/x
  3. Step 3: Cross multiply
    1,103.63x = 1,655.44 × 795.83
  4. Step 4: Simplify right side
    1,103.63x = 1,317,438.55
  5. Step 5: Solve for x
    x = 1,317,438.55/1,103.63
  6. Step 6: Final answer
    x = 1,193.74

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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.