Home / 1,022.14-1,410.63-580.06

Finding the Fourth Proportional to 1,022.14, 1,410.63 and 580.06

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Solution

The fourth proportional to 1,022.14, 1,410.63 and 580.06 is: 800.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022.14 : 1,410.63 = 580.06 : x
  2. Step 2: Convert to fraction form
    1,022.14/1,410.63 = 580.06/x
  3. Step 3: Cross multiply
    1,022.14x = 1,410.63 × 580.06
  4. Step 4: Simplify right side
    1,022.14x = 818,242.98
  5. Step 5: Solve for x
    x = 818,242.98/1,022.14
  6. Step 6: Final answer
    x = 800.52

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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.