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Finding the Fourth Proportional to 1,465.68, 2,022.62 and 793.46

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Solution

The fourth proportional to 1,465.68, 2,022.62 and 793.46 is: 1,094.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,465.68 : 2,022.62 = 793.46 : x
  2. Step 2: Convert to fraction form
    1,465.68/2,022.62 = 793.46/x
  3. Step 3: Cross multiply
    1,465.68x = 2,022.62 × 793.46
  4. Step 4: Simplify right side
    1,465.68x = 1,604,873.62
  5. Step 5: Solve for x
    x = 1,604,873.62/1,465.68
  6. Step 6: Final answer
    x = 1,094.97

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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.