Home / 1,027.33-1,417.37-584.92

Finding the Fourth Proportional to 1,027.33, 1,417.37 and 584.92

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Solution

The fourth proportional to 1,027.33, 1,417.37 and 584.92 is: 806.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,027.33 : 1,417.37 = 584.92 : x
  2. Step 2: Convert to fraction form
    1,027.33/1,417.37 = 584.92/x
  3. Step 3: Cross multiply
    1,027.33x = 1,417.37 × 584.92
  4. Step 4: Simplify right side
    1,027.33x = 829,051.84
  5. Step 5: Solve for x
    x = 829,051.84/1,027.33
  6. Step 6: Final answer
    x = 806.99

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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.