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Finding the Fourth Proportional to 1,305.63, 1,802.36 and 834.17

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Solution

The fourth proportional to 1,305.63, 1,802.36 and 834.17 is: 1,151.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,305.63 : 1,802.36 = 834.17 : x
  2. Step 2: Convert to fraction form
    1,305.63/1,802.36 = 834.17/x
  3. Step 3: Cross multiply
    1,305.63x = 1,802.36 × 834.17
  4. Step 4: Simplify right side
    1,305.63x = 1,503,467.71
  5. Step 5: Solve for x
    x = 1,503,467.71/1,305.63
  6. Step 6: Final answer
    x = 1,151.53

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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.