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Finding the Fourth Proportional to 1,465.46, 2,022.30 and 802.31

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Solution

The fourth proportional to 1,465.46, 2,022.30 and 802.31 is: 1,107.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,465.46 : 2,022.30 = 802.31 : x
  2. Step 2: Convert to fraction form
    1,465.46/2,022.30 = 802.31/x
  3. Step 3: Cross multiply
    1,465.46x = 2,022.30 × 802.31
  4. Step 4: Simplify right side
    1,465.46x = 1,622,511.51
  5. Step 5: Solve for x
    x = 1,622,511.51/1,465.46
  6. Step 6: Final answer
    x = 1,107.17

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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.