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Finding the Fourth Proportional to 1,465.40, 2,198.12 and 576.02

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Solution

The fourth proportional to 1,465.40, 2,198.12 and 576.02 is: 864.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,465.40 : 2,198.12 = 576.02 : x
  2. Step 2: Convert to fraction form
    1,465.40/2,198.12 = 576.02/x
  3. Step 3: Cross multiply
    1,465.40x = 2,198.12 × 576.02
  4. Step 4: Simplify right side
    1,465.40x = 1,266,160.04
  5. Step 5: Solve for x
    x = 1,266,160.04/1,465.40
  6. Step 6: Final answer
    x = 864.04

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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.