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Finding the Fourth Proportional to 1,066.94, 1,600.69 and 336.53

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Solution

The fourth proportional to 1,066.94, 1,600.69 and 336.53 is: 504.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,066.94 : 1,600.69 = 336.53 : x
  2. Step 2: Convert to fraction form
    1,066.94/1,600.69 = 336.53/x
  3. Step 3: Cross multiply
    1,066.94x = 1,600.69 × 336.53
  4. Step 4: Simplify right side
    1,066.94x = 538,671.36
  5. Step 5: Solve for x
    x = 538,671.36/1,066.94
  6. Step 6: Final answer
    x = 504.87

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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.