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Finding the Fourth Proportional to 1,465.76, 2,198.14 and 425.48

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Solution

The fourth proportional to 1,465.76, 2,198.14 and 425.48 is: 638.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,465.76 : 2,198.14 = 425.48 : x
  2. Step 2: Convert to fraction form
    1,465.76/2,198.14 = 425.48/x
  3. Step 3: Cross multiply
    1,465.76x = 2,198.14 × 425.48
  4. Step 4: Simplify right side
    1,465.76x = 935,269.04
  5. Step 5: Solve for x
    x = 935,269.04/1,465.76
  6. Step 6: Final answer
    x = 638.08

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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.