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Finding the Fourth Proportional to 1,465.78, 2,022.78 and 802.68

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Solution

The fourth proportional to 1,465.78, 2,022.78 and 802.68 is: 1,107.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,465.78 : 2,022.78 = 802.68 : x
  2. Step 2: Convert to fraction form
    1,465.78/2,022.78 = 802.68/x
  3. Step 3: Cross multiply
    1,465.78x = 2,022.78 × 802.68
  4. Step 4: Simplify right side
    1,465.78x = 1,623,634.94
  5. Step 5: Solve for x
    x = 1,623,634.94/1,465.78
  6. Step 6: Final answer
    x = 1,107.69

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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.