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Finding the Fourth Proportional to 1,094.23, 1,641.35 and 444.81

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Solution

The fourth proportional to 1,094.23, 1,641.35 and 444.81 is: 667.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,094.23 : 1,641.35 = 444.81 : x
  2. Step 2: Convert to fraction form
    1,094.23/1,641.35 = 444.81/x
  3. Step 3: Cross multiply
    1,094.23x = 1,641.35 × 444.81
  4. Step 4: Simplify right side
    1,094.23x = 730,088.89
  5. Step 5: Solve for x
    x = 730,088.89/1,094.23
  6. Step 6: Final answer
    x = 667.22

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