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Finding the Fourth Proportional to 1,195.24, 1,649.08 and 802.84

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Solution

The fourth proportional to 1,195.24, 1,649.08 and 802.84 is: 1,107.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,195.24 : 1,649.08 = 802.84 : x
  2. Step 2: Convert to fraction form
    1,195.24/1,649.08 = 802.84/x
  3. Step 3: Cross multiply
    1,195.24x = 1,649.08 × 802.84
  4. Step 4: Simplify right side
    1,195.24x = 1,323,947.39
  5. Step 5: Solve for x
    x = 1,323,947.39/1,195.24
  6. Step 6: Final answer
    x = 1,107.68

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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.