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Finding the Fourth Proportional to 664.10, 994.58 and 559.50

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Solution

The fourth proportional to 664.10, 994.58 and 559.50 is: 837.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.10 : 994.58 = 559.50 : x
  2. Step 2: Convert to fraction form
    664.10/994.58 = 559.50/x
  3. Step 3: Cross multiply
    664.10x = 994.58 × 559.50
  4. Step 4: Simplify right side
    664.10x = 556,467.51
  5. Step 5: Solve for x
    x = 556,467.51/664.10
  6. Step 6: Final answer
    x = 837.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.