Home / 1,079.09-1,619.43-802.08

Finding the Fourth Proportional to 1,079.09, 1,619.43 and 802.08

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Solution

The fourth proportional to 1,079.09, 1,619.43 and 802.08 is: 1,203.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,079.09 : 1,619.43 = 802.08 : x
  2. Step 2: Convert to fraction form
    1,079.09/1,619.43 = 802.08/x
  3. Step 3: Cross multiply
    1,079.09x = 1,619.43 × 802.08
  4. Step 4: Simplify right side
    1,079.09x = 1,298,904.32
  5. Step 5: Solve for x
    x = 1,298,904.32/1,079.09
  6. Step 6: Final answer
    x = 1,203.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.