Home / 1,470.81-2,202.26-776.04

Finding the Fourth Proportional to 1,470.81, 2,202.26 and 776.04

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Solution

The fourth proportional to 1,470.81, 2,202.26 and 776.04 is: 1,161.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,470.81 : 2,202.26 = 776.04 : x
  2. Step 2: Convert to fraction form
    1,470.81/2,202.26 = 776.04/x
  3. Step 3: Cross multiply
    1,470.81x = 2,202.26 × 776.04
  4. Step 4: Simplify right side
    1,470.81x = 1,709,037.97
  5. Step 5: Solve for x
    x = 1,709,037.97/1,470.81
  6. Step 6: Final answer
    x = 1,161.97

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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.