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Finding the Fourth Proportional to 1,203.55, 1,802.27 and 813.13

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Solution

The fourth proportional to 1,203.55, 1,802.27 and 813.13 is: 1,217.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,203.55 : 1,802.27 = 813.13 : x
  2. Step 2: Convert to fraction form
    1,203.55/1,802.27 = 813.13/x
  3. Step 3: Cross multiply
    1,203.55x = 1,802.27 × 813.13
  4. Step 4: Simplify right side
    1,203.55x = 1,465,477.33
  5. Step 5: Solve for x
    x = 1,465,477.33/1,203.55
  6. Step 6: Final answer
    x = 1,217.63

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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.