Home / 1,026.50-1,416.61-584.48

Finding the Fourth Proportional to 1,026.50, 1,416.61 and 584.48

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Solution

The fourth proportional to 1,026.50, 1,416.61 and 584.48 is: 806.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,026.50 : 1,416.61 = 584.48 : x
  2. Step 2: Convert to fraction form
    1,026.50/1,416.61 = 584.48/x
  3. Step 3: Cross multiply
    1,026.50x = 1,416.61 × 584.48
  4. Step 4: Simplify right side
    1,026.50x = 827,980.21
  5. Step 5: Solve for x
    x = 827,980.21/1,026.50
  6. Step 6: Final answer
    x = 806.61

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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.