Home / 1,041.19-1,560.22-822.35

Finding the Fourth Proportional to 1,041.19, 1,560.22 and 822.35

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Solution

The fourth proportional to 1,041.19, 1,560.22 and 822.35 is: 1,232.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,041.19 : 1,560.22 = 822.35 : x
  2. Step 2: Convert to fraction form
    1,041.19/1,560.22 = 822.35/x
  3. Step 3: Cross multiply
    1,041.19x = 1,560.22 × 822.35
  4. Step 4: Simplify right side
    1,041.19x = 1,283,048.76
  5. Step 5: Solve for x
    x = 1,283,048.76/1,041.19
  6. Step 6: Final answer
    x = 1,232.29

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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.