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Finding the Fourth Proportional to 648.98, 968.45 and 579.75

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Solution

The fourth proportional to 648.98, 968.45 and 579.75 is: 865.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.98 : 968.45 = 579.75 : x
  2. Step 2: Convert to fraction form
    648.98/968.45 = 579.75/x
  3. Step 3: Cross multiply
    648.98x = 968.45 × 579.75
  4. Step 4: Simplify right side
    648.98x = 561,455.99
  5. Step 5: Solve for x
    x = 561,455.99/648.98
  6. Step 6: Final answer
    x = 865.14

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.