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Finding the Fourth Proportional to 1,027.56, 1,417.63 and 654.47

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Solution

The fourth proportional to 1,027.56, 1,417.63 and 654.47 is: 902.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,027.56 : 1,417.63 = 654.47 : x
  2. Step 2: Convert to fraction form
    1,027.56/1,417.63 = 654.47/x
  3. Step 3: Cross multiply
    1,027.56x = 1,417.63 × 654.47
  4. Step 4: Simplify right side
    1,027.56x = 927,796.31
  5. Step 5: Solve for x
    x = 927,796.31/1,027.56
  6. Step 6: Final answer
    x = 902.91

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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.