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Finding the Fourth Proportional to 1,094.41, 1,641.46 and 469.96

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Solution

The fourth proportional to 1,094.41, 1,641.46 and 469.96 is: 704.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,094.41 : 1,641.46 = 469.96 : x
  2. Step 2: Convert to fraction form
    1,094.41/1,641.46 = 469.96/x
  3. Step 3: Cross multiply
    1,094.41x = 1,641.46 × 469.96
  4. Step 4: Simplify right side
    1,094.41x = 771,409.98
  5. Step 5: Solve for x
    x = 771,409.98/1,094.41
  6. Step 6: Final answer
    x = 704.86

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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.