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Finding the Fourth Proportional to 1,203.69, 1,802.25 and 873.66

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Solution

The fourth proportional to 1,203.69, 1,802.25 and 873.66 is: 1,308.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,203.69 : 1,802.25 = 873.66 : x
  2. Step 2: Convert to fraction form
    1,203.69/1,802.25 = 873.66/x
  3. Step 3: Cross multiply
    1,203.69x = 1,802.25 × 873.66
  4. Step 4: Simplify right side
    1,203.69x = 1,574,553.74
  5. Step 5: Solve for x
    x = 1,574,553.74/1,203.69
  6. Step 6: Final answer
    x = 1,308.11

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.