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Finding the Fourth Proportional to 1,027.71, 1,417.79 and 634.50

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Solution

The fourth proportional to 1,027.71, 1,417.79 and 634.50 is: 875.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,027.71 : 1,417.79 = 634.50 : x
  2. Step 2: Convert to fraction form
    1,027.71/1,417.79 = 634.50/x
  3. Step 3: Cross multiply
    1,027.71x = 1,417.79 × 634.50
  4. Step 4: Simplify right side
    1,027.71x = 899,589.34
  5. Step 5: Solve for x
    x = 899,589.34/1,027.71
  6. Step 6: Final answer
    x = 875.33

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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.