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Finding the Fourth Proportional to 1,066.64, 1,460.66 and 1,007.44

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Solution

The fourth proportional to 1,066.64, 1,460.66 and 1,007.44 is: 1,379.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,066.64 : 1,460.66 = 1,007.44 : x
  2. Step 2: Convert to fraction form
    1,066.64/1,460.66 = 1,007.44/x
  3. Step 3: Cross multiply
    1,066.64x = 1,460.66 × 1,007.44
  4. Step 4: Simplify right side
    1,066.64x = 1,471,527.31
  5. Step 5: Solve for x
    x = 1,471,527.31/1,066.64
  6. Step 6: Final answer
    x = 1,379.59

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.