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Finding the Fourth Proportional to 767.26, 1,058.88 and 435.74

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Solution

The fourth proportional to 767.26, 1,058.88 and 435.74 is: 601.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    767.26 : 1,058.88 = 435.74 : x
  2. Step 2: Convert to fraction form
    767.26/1,058.88 = 435.74/x
  3. Step 3: Cross multiply
    767.26x = 1,058.88 × 435.74
  4. Step 4: Simplify right side
    767.26x = 461,396.37
  5. Step 5: Solve for x
    x = 461,396.37/767.26
  6. Step 6: Final answer
    x = 601.36

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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.