Home / 1,026.42-1,416.30-584.22

Finding the Fourth Proportional to 1,026.42, 1,416.30 and 584.22

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Solution

The fourth proportional to 1,026.42, 1,416.30 and 584.22 is: 806.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,026.42 : 1,416.30 = 584.22 : x
  2. Step 2: Convert to fraction form
    1,026.42/1,416.30 = 584.22/x
  3. Step 3: Cross multiply
    1,026.42x = 1,416.30 × 584.22
  4. Step 4: Simplify right side
    1,026.42x = 827,430.79
  5. Step 5: Solve for x
    x = 827,430.79/1,026.42
  6. Step 6: Final answer
    x = 806.13

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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.