Home / 1,026.37-1,416.58-584.24

Finding the Fourth Proportional to 1,026.37, 1,416.58 and 584.24

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Solution

The fourth proportional to 1,026.37, 1,416.58 and 584.24 is: 806.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,026.37 : 1,416.58 = 584.24 : x
  2. Step 2: Convert to fraction form
    1,026.37/1,416.58 = 584.24/x
  3. Step 3: Cross multiply
    1,026.37x = 1,416.58 × 584.24
  4. Step 4: Simplify right side
    1,026.37x = 827,622.70
  5. Step 5: Solve for x
    x = 827,622.70/1,026.37
  6. Step 6: Final answer
    x = 806.36

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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.