Home / 1,223.01-1,832.16-976.70

Finding the Fourth Proportional to 1,223.01, 1,832.16 and 976.70

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Solution

The fourth proportional to 1,223.01, 1,832.16 and 976.70 is: 1,463.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,223.01 : 1,832.16 = 976.70 : x
  2. Step 2: Convert to fraction form
    1,223.01/1,832.16 = 976.70/x
  3. Step 3: Cross multiply
    1,223.01x = 1,832.16 × 976.70
  4. Step 4: Simplify right side
    1,223.01x = 1,789,475.25
  5. Step 5: Solve for x
    x = 1,789,475.25/1,223.01
  6. Step 6: Final answer
    x = 1,463.17

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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.