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Finding the Fourth Proportional to 1,066.97, 1,600.47 and 286.97

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Solution

The fourth proportional to 1,066.97, 1,600.47 and 286.97 is: 430.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,066.97 : 1,600.47 = 286.97 : x
  2. Step 2: Convert to fraction form
    1,066.97/1,600.47 = 286.97/x
  3. Step 3: Cross multiply
    1,066.97x = 1,600.47 × 286.97
  4. Step 4: Simplify right side
    1,066.97x = 459,278.87
  5. Step 5: Solve for x
    x = 459,278.87/1,066.97
  6. Step 6: Final answer
    x = 430.45

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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.