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Finding the Fourth Proportional to 1,066.31, 1,599.69 and 450.02

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Solution

The fourth proportional to 1,066.31, 1,599.69 and 450.02 is: 675.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,066.31 : 1,599.69 = 450.02 : x
  2. Step 2: Convert to fraction form
    1,066.31/1,599.69 = 450.02/x
  3. Step 3: Cross multiply
    1,066.31x = 1,599.69 × 450.02
  4. Step 4: Simplify right side
    1,066.31x = 719,896.49
  5. Step 5: Solve for x
    x = 719,896.49/1,066.31
  6. Step 6: Final answer
    x = 675.13

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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.