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Finding the Fourth Proportional to 1,022.77, 1,412.33 and 760.33

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Solution

The fourth proportional to 1,022.77, 1,412.33 and 760.33 is: 1,049.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022.77 : 1,412.33 = 760.33 : x
  2. Step 2: Convert to fraction form
    1,022.77/1,412.33 = 760.33/x
  3. Step 3: Cross multiply
    1,022.77x = 1,412.33 × 760.33
  4. Step 4: Simplify right side
    1,022.77x = 1,073,840.40
  5. Step 5: Solve for x
    x = 1,073,840.40/1,022.77
  6. Step 6: Final answer
    x = 1,049.93

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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.