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Finding the Fourth Proportional to 1,094.03, 1,641.02 and 314.03

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Solution

The fourth proportional to 1,094.03, 1,641.02 and 314.03 is: 471.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,094.03 : 1,641.02 = 314.03 : x
  2. Step 2: Convert to fraction form
    1,094.03/1,641.02 = 314.03/x
  3. Step 3: Cross multiply
    1,094.03x = 1,641.02 × 314.03
  4. Step 4: Simplify right side
    1,094.03x = 515,337.48
  5. Step 5: Solve for x
    x = 515,337.48/1,094.03
  6. Step 6: Final answer
    x = 471.05

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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.