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Finding the Fourth Proportional to 1,403.21, 2,104.82 and 429.32

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Solution

The fourth proportional to 1,403.21, 2,104.82 and 429.32 is: 643.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,403.21 : 2,104.82 = 429.32 : x
  2. Step 2: Convert to fraction form
    1,403.21/2,104.82 = 429.32/x
  3. Step 3: Cross multiply
    1,403.21x = 2,104.82 × 429.32
  4. Step 4: Simplify right side
    1,403.21x = 903,628.65
  5. Step 5: Solve for x
    x = 903,628.65/1,403.21
  6. Step 6: Final answer
    x = 643.97

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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.