Home / 1,388.04-2,080.26-802.14

Finding the Fourth Proportional to 1,388.04, 2,080.26 and 802.14

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Solution

The fourth proportional to 1,388.04, 2,080.26 and 802.14 is: 1,202.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,388.04 : 2,080.26 = 802.14 : x
  2. Step 2: Convert to fraction form
    1,388.04/2,080.26 = 802.14/x
  3. Step 3: Cross multiply
    1,388.04x = 2,080.26 × 802.14
  4. Step 4: Simplify right side
    1,388.04x = 1,668,659.76
  5. Step 5: Solve for x
    x = 1,668,659.76/1,388.04
  6. Step 6: Final answer
    x = 1,202.17

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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.