Home / 1,027.09-1,417.33-584.95

Finding the Fourth Proportional to 1,027.09, 1,417.33 and 584.95

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Solution

The fourth proportional to 1,027.09, 1,417.33 and 584.95 is: 807.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,027.09 : 1,417.33 = 584.95 : x
  2. Step 2: Convert to fraction form
    1,027.09/1,417.33 = 584.95/x
  3. Step 3: Cross multiply
    1,027.09x = 1,417.33 × 584.95
  4. Step 4: Simplify right side
    1,027.09x = 829,067.18
  5. Step 5: Solve for x
    x = 829,067.18/1,027.09
  6. Step 6: Final answer
    x = 807.20

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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.