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Finding the Fourth Proportional to 1,464.49, 2,197.54 and 599.41

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Solution

The fourth proportional to 1,464.49, 2,197.54 and 599.41 is: 899.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,464.49 : 2,197.54 = 599.41 : x
  2. Step 2: Convert to fraction form
    1,464.49/2,197.54 = 599.41/x
  3. Step 3: Cross multiply
    1,464.49x = 2,197.54 × 599.41
  4. Step 4: Simplify right side
    1,464.49x = 1,317,216.46
  5. Step 5: Solve for x
    x = 1,317,216.46/1,464.49
  6. Step 6: Final answer
    x = 899.44

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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.