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Finding the Fourth Proportional to 1,403.31, 2,104.75 and 429.42

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Solution

The fourth proportional to 1,403.31, 2,104.75 and 429.42 is: 644.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,403.31 : 2,104.75 = 429.42 : x
  2. Step 2: Convert to fraction form
    1,403.31/2,104.75 = 429.42/x
  3. Step 3: Cross multiply
    1,403.31x = 2,104.75 × 429.42
  4. Step 4: Simplify right side
    1,403.31x = 903,821.75
  5. Step 5: Solve for x
    x = 903,821.75/1,403.31
  6. Step 6: Final answer
    x = 644.06

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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.