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Finding the Fourth Proportional to 1,465.65, 2,198.37 and 541.02

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Solution

The fourth proportional to 1,465.65, 2,198.37 and 541.02 is: 811.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,465.65 : 2,198.37 = 541.02 : x
  2. Step 2: Convert to fraction form
    1,465.65/2,198.37 = 541.02/x
  3. Step 3: Cross multiply
    1,465.65x = 2,198.37 × 541.02
  4. Step 4: Simplify right side
    1,465.65x = 1,189,362.14
  5. Step 5: Solve for x
    x = 1,189,362.14/1,465.65
  6. Step 6: Final answer
    x = 811.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.