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Finding the Fourth Proportional to 1,465.36, 2,198.04 and 599.66

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Solution

The fourth proportional to 1,465.36, 2,198.04 and 599.66 is: 899.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,465.36 : 2,198.04 = 599.66 : x
  2. Step 2: Convert to fraction form
    1,465.36/2,198.04 = 599.66/x
  3. Step 3: Cross multiply
    1,465.36x = 2,198.04 × 599.66
  4. Step 4: Simplify right side
    1,465.36x = 1,318,076.67
  5. Step 5: Solve for x
    x = 1,318,076.67/1,465.36
  6. Step 6: Final answer
    x = 899.49

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Similar ratio
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1.5x scale

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.