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Finding the Fourth Proportional to 1,465.71, 2,022.74 and 802.62

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Solution

The fourth proportional to 1,465.71, 2,022.74 and 802.62 is: 1,107.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,465.71 : 2,022.74 = 802.62 : x
  2. Step 2: Convert to fraction form
    1,465.71/2,022.74 = 802.62/x
  3. Step 3: Cross multiply
    1,465.71x = 2,022.74 × 802.62
  4. Step 4: Simplify right side
    1,465.71x = 1,623,491.58
  5. Step 5: Solve for x
    x = 1,623,491.58/1,465.71
  6. Step 6: Final answer
    x = 1,107.65

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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.