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Finding the Fourth Proportional to 1,040.26, 1,435.56 and 574.52

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Solution

The fourth proportional to 1,040.26, 1,435.56 and 574.52 is: 792.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,040.26 : 1,435.56 = 574.52 : x
  2. Step 2: Convert to fraction form
    1,040.26/1,435.56 = 574.52/x
  3. Step 3: Cross multiply
    1,040.26x = 1,435.56 × 574.52
  4. Step 4: Simplify right side
    1,040.26x = 824,757.93
  5. Step 5: Solve for x
    x = 824,757.93/1,040.26
  6. Step 6: Final answer
    x = 792.84

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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.