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Finding the Fourth Proportional to 1,465.24, 2,022.01 and 802.05

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Solution

The fourth proportional to 1,465.24, 2,022.01 and 802.05 is: 1,106.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,465.24 : 2,022.01 = 802.05 : x
  2. Step 2: Convert to fraction form
    1,465.24/2,022.01 = 802.05/x
  3. Step 3: Cross multiply
    1,465.24x = 2,022.01 × 802.05
  4. Step 4: Simplify right side
    1,465.24x = 1,621,751.12
  5. Step 5: Solve for x
    x = 1,621,751.12/1,465.24
  6. Step 6: Final answer
    x = 1,106.82

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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.