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Finding the Fourth Proportional to 781.33, 1,078.24 and 427.25

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Solution

The fourth proportional to 781.33, 1,078.24 and 427.25 is: 589.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    781.33 : 1,078.24 = 427.25 : x
  2. Step 2: Convert to fraction form
    781.33/1,078.24 = 427.25/x
  3. Step 3: Cross multiply
    781.33x = 1,078.24 × 427.25
  4. Step 4: Simplify right side
    781.33x = 460,675.34
  5. Step 5: Solve for x
    x = 460,675.34/781.33
  6. Step 6: Final answer
    x = 589.60

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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.