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Finding the Fourth Proportional to 664.45, 915.63 and 559.55

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Solution

The fourth proportional to 664.45, 915.63 and 559.55 is: 771.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.45 : 915.63 = 559.55 : x
  2. Step 2: Convert to fraction form
    664.45/915.63 = 559.55/x
  3. Step 3: Cross multiply
    664.45x = 915.63 × 559.55
  4. Step 4: Simplify right side
    664.45x = 512,340.77
  5. Step 5: Solve for x
    x = 512,340.77/664.45
  6. Step 6: Final answer
    x = 771.07

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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.