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Finding the Fourth Proportional to 1,040.34, 1,435.69 and 574.59

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Solution

The fourth proportional to 1,040.34, 1,435.69 and 574.59 is: 792.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,040.34 : 1,435.69 = 574.59 : x
  2. Step 2: Convert to fraction form
    1,040.34/1,435.69 = 574.59/x
  3. Step 3: Cross multiply
    1,040.34x = 1,435.69 × 574.59
  4. Step 4: Simplify right side
    1,040.34x = 824,939.22
  5. Step 5: Solve for x
    x = 824,939.22/1,040.34
  6. Step 6: Final answer
    x = 792.95

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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.