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Finding the Fourth Proportional to 1,404.31, 2,104.76 and 622.63

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Solution

The fourth proportional to 1,404.31, 2,104.76 and 622.63 is: 933.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,404.31 : 2,104.76 = 622.63 : x
  2. Step 2: Convert to fraction form
    1,404.31/2,104.76 = 622.63/x
  3. Step 3: Cross multiply
    1,404.31x = 2,104.76 × 622.63
  4. Step 4: Simplify right side
    1,404.31x = 1,310,486.72
  5. Step 5: Solve for x
    x = 1,310,486.72/1,404.31
  6. Step 6: Final answer
    x = 933.19

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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.