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Finding the Fourth Proportional to 1,465.23, 2,022 and 802.08

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Solution

The fourth proportional to 1,465.23, 2,022 and 802.08 is: 1,106.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,465.23 : 2,022 = 802.08 : x
  2. Step 2: Convert to fraction form
    1,465.23/2,022 = 802.08/x
  3. Step 3: Cross multiply
    1,465.23x = 2,022 × 802.08
  4. Step 4: Simplify right side
    1,465.23x = 1,621,805.76
  5. Step 5: Solve for x
    x = 1,621,805.76/1,465.23
  6. Step 6: Final answer
    x = 1,106.86

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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.