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Finding the Fourth Proportional to 1,465.79, 2,198.15 and 425.51

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Solution

The fourth proportional to 1,465.79, 2,198.15 and 425.51 is: 638.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,465.79 : 2,198.15 = 425.51 : x
  2. Step 2: Convert to fraction form
    1,465.79/2,198.15 = 425.51/x
  3. Step 3: Cross multiply
    1,465.79x = 2,198.15 × 425.51
  4. Step 4: Simplify right side
    1,465.79x = 935,321.69
  5. Step 5: Solve for x
    x = 935,321.69/1,465.79
  6. Step 6: Final answer
    x = 638.10

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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.