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Finding the Fourth Proportional to 1,040.26, 1,435.57 and 574.51

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Solution

The fourth proportional to 1,040.26, 1,435.57 and 574.51 is: 792.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,040.26 : 1,435.57 = 574.51 : x
  2. Step 2: Convert to fraction form
    1,040.26/1,435.57 = 574.51/x
  3. Step 3: Cross multiply
    1,040.26x = 1,435.57 × 574.51
  4. Step 4: Simplify right side
    1,040.26x = 824,749.32
  5. Step 5: Solve for x
    x = 824,749.32/1,040.26
  6. Step 6: Final answer
    x = 792.83

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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.