Home / 1,027.03-1,417.31-634.28

Finding the Fourth Proportional to 1,027.03, 1,417.31 and 634.28

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Solution

The fourth proportional to 1,027.03, 1,417.31 and 634.28 is: 875.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,027.03 : 1,417.31 = 634.28 : x
  2. Step 2: Convert to fraction form
    1,027.03/1,417.31 = 634.28/x
  3. Step 3: Cross multiply
    1,027.03x = 1,417.31 × 634.28
  4. Step 4: Simplify right side
    1,027.03x = 898,971.39
  5. Step 5: Solve for x
    x = 898,971.39/1,027.03
  6. Step 6: Final answer
    x = 875.31

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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.