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Finding the Fourth Proportional to 648.58, 894.12 and 559.66

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Solution

The fourth proportional to 648.58, 894.12 and 559.66 is: 771.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.58 : 894.12 = 559.66 : x
  2. Step 2: Convert to fraction form
    648.58/894.12 = 559.66/x
  3. Step 3: Cross multiply
    648.58x = 894.12 × 559.66
  4. Step 4: Simplify right side
    648.58x = 500,403.20
  5. Step 5: Solve for x
    x = 500,403.20/648.58
  6. Step 6: Final answer
    x = 771.54

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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.