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Finding the Fourth Proportional to 1,066.96, 1,600.48 and 336.54

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Solution

The fourth proportional to 1,066.96, 1,600.48 and 336.54 is: 504.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,066.96 : 1,600.48 = 336.54 : x
  2. Step 2: Convert to fraction form
    1,066.96/1,600.48 = 336.54/x
  3. Step 3: Cross multiply
    1,066.96x = 1,600.48 × 336.54
  4. Step 4: Simplify right side
    1,066.96x = 538,625.54
  5. Step 5: Solve for x
    x = 538,625.54/1,066.96
  6. Step 6: Final answer
    x = 504.82

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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.