Home / 1,026.15-1,416.03-584.06

Finding the Fourth Proportional to 1,026.15, 1,416.03 and 584.06

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Solution

The fourth proportional to 1,026.15, 1,416.03 and 584.06 is: 805.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,026.15 : 1,416.03 = 584.06 : x
  2. Step 2: Convert to fraction form
    1,026.15/1,416.03 = 584.06/x
  3. Step 3: Cross multiply
    1,026.15x = 1,416.03 × 584.06
  4. Step 4: Simplify right side
    1,026.15x = 827,039.40
  5. Step 5: Solve for x
    x = 827,039.40/1,026.15
  6. Step 6: Final answer
    x = 805.96

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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.