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Finding the Fourth Proportional to 1,244.49, 1,716.83 and 802.54

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Solution

The fourth proportional to 1,244.49, 1,716.83 and 802.54 is: 1,107.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,244.49 : 1,716.83 = 802.54 : x
  2. Step 2: Convert to fraction form
    1,244.49/1,716.83 = 802.54/x
  3. Step 3: Cross multiply
    1,244.49x = 1,716.83 × 802.54
  4. Step 4: Simplify right side
    1,244.49x = 1,377,818.81
  5. Step 5: Solve for x
    x = 1,377,818.81/1,244.49
  6. Step 6: Final answer
    x = 1,107.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.