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Finding the Fourth Proportional to 1,066.93, 1,600.46 and 336.49

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Solution

The fourth proportional to 1,066.93, 1,600.46 and 336.49 is: 504.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,066.93 : 1,600.46 = 336.49 : x
  2. Step 2: Convert to fraction form
    1,066.93/1,600.46 = 336.49/x
  3. Step 3: Cross multiply
    1,066.93x = 1,600.46 × 336.49
  4. Step 4: Simplify right side
    1,066.93x = 538,538.79
  5. Step 5: Solve for x
    x = 538,538.79/1,066.93
  6. Step 6: Final answer
    x = 504.76

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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.