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Finding the Fourth Proportional to 1,027.02, 1,417.86 and 654.24

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Solution

The fourth proportional to 1,027.02, 1,417.86 and 654.24 is: 903.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,027.02 : 1,417.86 = 654.24 : x
  2. Step 2: Convert to fraction form
    1,027.02/1,417.86 = 654.24/x
  3. Step 3: Cross multiply
    1,027.02x = 1,417.86 × 654.24
  4. Step 4: Simplify right side
    1,027.02x = 927,620.73
  5. Step 5: Solve for x
    x = 927,620.73/1,027.02
  6. Step 6: Final answer
    x = 903.22

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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.