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Finding the Fourth Proportional to 1,022.68, 1,410.93 and 580.33

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Solution

The fourth proportional to 1,022.68, 1,410.93 and 580.33 is: 800.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022.68 : 1,410.93 = 580.33 : x
  2. Step 2: Convert to fraction form
    1,022.68/1,410.93 = 580.33/x
  3. Step 3: Cross multiply
    1,022.68x = 1,410.93 × 580.33
  4. Step 4: Simplify right side
    1,022.68x = 818,801.63
  5. Step 5: Solve for x
    x = 818,801.63/1,022.68
  6. Step 6: Final answer
    x = 800.64

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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.