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Finding the Fourth Proportional to 1,027.02, 1,417.02 and 634.14

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Solution

The fourth proportional to 1,027.02, 1,417.02 and 634.14 is: 874.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,027.02 : 1,417.02 = 634.14 : x
  2. Step 2: Convert to fraction form
    1,027.02/1,417.02 = 634.14/x
  3. Step 3: Cross multiply
    1,027.02x = 1,417.02 × 634.14
  4. Step 4: Simplify right side
    1,027.02x = 898,589.06
  5. Step 5: Solve for x
    x = 898,589.06/1,027.02
  6. Step 6: Final answer
    x = 874.95

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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.