Home / 1,643.04-2,463.30-776.34

Finding the Fourth Proportional to 1,643.04, 2,463.30 and 776.34

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Solution

The fourth proportional to 1,643.04, 2,463.30 and 776.34 is: 1,163.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,643.04 : 2,463.30 = 776.34 : x
  2. Step 2: Convert to fraction form
    1,643.04/2,463.30 = 776.34/x
  3. Step 3: Cross multiply
    1,643.04x = 2,463.30 × 776.34
  4. Step 4: Simplify right side
    1,643.04x = 1,912,358.32
  5. Step 5: Solve for x
    x = 1,912,358.32/1,643.04
  6. Step 6: Final answer
    x = 1,163.91

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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.