Home / 1,288.16-1,777.36-822.56

Finding the Fourth Proportional to 1,288.16, 1,777.36 and 822.56

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Solution

The fourth proportional to 1,288.16, 1,777.36 and 822.56 is: 1,134.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,288.16 : 1,777.36 = 822.56 : x
  2. Step 2: Convert to fraction form
    1,288.16/1,777.36 = 822.56/x
  3. Step 3: Cross multiply
    1,288.16x = 1,777.36 × 822.56
  4. Step 4: Simplify right side
    1,288.16x = 1,461,985.24
  5. Step 5: Solve for x
    x = 1,461,985.24/1,288.16
  6. Step 6: Final answer
    x = 1,134.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.