Home / 1,022.06-1,410.73-602.65

Finding the Fourth Proportional to 1,022.06, 1,410.73 and 602.65

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Solution

The fourth proportional to 1,022.06, 1,410.73 and 602.65 is: 831.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022.06 : 1,410.73 = 602.65 : x
  2. Step 2: Convert to fraction form
    1,022.06/1,410.73 = 602.65/x
  3. Step 3: Cross multiply
    1,022.06x = 1,410.73 × 602.65
  4. Step 4: Simplify right side
    1,022.06x = 850,176.69
  5. Step 5: Solve for x
    x = 850,176.69/1,022.06
  6. Step 6: Final answer
    x = 831.83

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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.