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Finding the Fourth Proportional to 1,465.40, 2,198.64 and 599.78

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Solution

The fourth proportional to 1,465.40, 2,198.64 and 599.78 is: 899.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,465.40 : 2,198.64 = 599.78 : x
  2. Step 2: Convert to fraction form
    1,465.40/2,198.64 = 599.78/x
  3. Step 3: Cross multiply
    1,465.40x = 2,198.64 × 599.78
  4. Step 4: Simplify right side
    1,465.40x = 1,318,700.30
  5. Step 5: Solve for x
    x = 1,318,700.30/1,465.40
  6. Step 6: Final answer
    x = 899.89

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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.