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Finding the Fourth Proportional to 1,027.58, 1,419.09 and 654.73

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Solution

The fourth proportional to 1,027.58, 1,419.09 and 654.73 is: 904.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,027.58 : 1,419.09 = 654.73 : x
  2. Step 2: Convert to fraction form
    1,027.58/1,419.09 = 654.73/x
  3. Step 3: Cross multiply
    1,027.58x = 1,419.09 × 654.73
  4. Step 4: Simplify right side
    1,027.58x = 929,117.25
  5. Step 5: Solve for x
    x = 929,117.25/1,027.58
  6. Step 6: Final answer
    x = 904.18

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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.