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Finding the Fourth Proportional to 1,027.42, 1,417.97 and 673.64

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Solution

The fourth proportional to 1,027.42, 1,417.97 and 673.64 is: 929.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,027.42 : 1,417.97 = 673.64 : x
  2. Step 2: Convert to fraction form
    1,027.42/1,417.97 = 673.64/x
  3. Step 3: Cross multiply
    1,027.42x = 1,417.97 × 673.64
  4. Step 4: Simplify right side
    1,027.42x = 955,197.88
  5. Step 5: Solve for x
    x = 955,197.88/1,027.42
  6. Step 6: Final answer
    x = 929.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.