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Finding the Fourth Proportional to 840.05, 1,260.83 and 429.47

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Solution

The fourth proportional to 840.05, 1,260.83 and 429.47 is: 644.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    840.05 : 1,260.83 = 429.47 : x
  2. Step 2: Convert to fraction form
    840.05/1,260.83 = 429.47/x
  3. Step 3: Cross multiply
    840.05x = 1,260.83 × 429.47
  4. Step 4: Simplify right side
    840.05x = 541,480.21
  5. Step 5: Solve for x
    x = 541,480.21/840.05
  6. Step 6: Final answer
    x = 644.58

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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.