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Finding the Fourth Proportional to 1,465.84, 2,022.90 and 802.74

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Solution

The fourth proportional to 1,465.84, 2,022.90 and 802.74 is: 1,107.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,465.84 : 2,022.90 = 802.74 : x
  2. Step 2: Convert to fraction form
    1,465.84/2,022.90 = 802.74/x
  3. Step 3: Cross multiply
    1,465.84x = 2,022.90 × 802.74
  4. Step 4: Simplify right side
    1,465.84x = 1,623,852.51
  5. Step 5: Solve for x
    x = 1,623,852.51/1,465.84
  6. Step 6: Final answer
    x = 1,107.80

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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.