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Finding the Fourth Proportional to 1,465.55, 2,198.61 and 478.64

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Solution

The fourth proportional to 1,465.55, 2,198.61 and 478.64 is: 718.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,465.55 : 2,198.61 = 478.64 : x
  2. Step 2: Convert to fraction form
    1,465.55/2,198.61 = 478.64/x
  3. Step 3: Cross multiply
    1,465.55x = 2,198.61 × 478.64
  4. Step 4: Simplify right side
    1,465.55x = 1,052,342.69
  5. Step 5: Solve for x
    x = 1,052,342.69/1,465.55
  6. Step 6: Final answer
    x = 718.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.