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Finding the Fourth Proportional to 1,465.38, 2,197.89 and 540.99

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Solution

The fourth proportional to 1,465.38, 2,197.89 and 540.99 is: 811.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,465.38 : 2,197.89 = 540.99 : x
  2. Step 2: Convert to fraction form
    1,465.38/2,197.89 = 540.99/x
  3. Step 3: Cross multiply
    1,465.38x = 2,197.89 × 540.99
  4. Step 4: Simplify right side
    1,465.38x = 1,189,036.51
  5. Step 5: Solve for x
    x = 1,189,036.51/1,465.38
  6. Step 6: Final answer
    x = 811.42

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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.