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Finding the Fourth Proportional to 1,465.63, 2,198.78 and 478.50

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Solution

The fourth proportional to 1,465.63, 2,198.78 and 478.50 is: 717.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,465.63 : 2,198.78 = 478.50 : x
  2. Step 2: Convert to fraction form
    1,465.63/2,198.78 = 478.50/x
  3. Step 3: Cross multiply
    1,465.63x = 2,198.78 × 478.50
  4. Step 4: Simplify right side
    1,465.63x = 1,052,116.23
  5. Step 5: Solve for x
    x = 1,052,116.23/1,465.63
  6. Step 6: Final answer
    x = 717.86

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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.