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Finding the Fourth Proportional to 648.79, 894.88 and 427.52

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Solution

The fourth proportional to 648.79, 894.88 and 427.52 is: 589.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.79 : 894.88 = 427.52 : x
  2. Step 2: Convert to fraction form
    648.79/894.88 = 427.52/x
  3. Step 3: Cross multiply
    648.79x = 894.88 × 427.52
  4. Step 4: Simplify right side
    648.79x = 382,579.10
  5. Step 5: Solve for x
    x = 382,579.10/648.79
  6. Step 6: Final answer
    x = 589.68

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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.