Home / 1,319.27-1,820.29-788.05

Finding the Fourth Proportional to 1,319.27, 1,820.29 and 788.05

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Solution

The fourth proportional to 1,319.27, 1,820.29 and 788.05 is: 1,087.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,319.27 : 1,820.29 = 788.05 : x
  2. Step 2: Convert to fraction form
    1,319.27/1,820.29 = 788.05/x
  3. Step 3: Cross multiply
    1,319.27x = 1,820.29 × 788.05
  4. Step 4: Simplify right side
    1,319.27x = 1,434,475.59
  5. Step 5: Solve for x
    x = 1,434,475.59/1,319.27
  6. Step 6: Final answer
    x = 1,087.33

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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.