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Finding the Fourth Proportional to 839.93, 1,260.68 and 429.36

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Solution

The fourth proportional to 839.93, 1,260.68 and 429.36 is: 644.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    839.93 : 1,260.68 = 429.36 : x
  2. Step 2: Convert to fraction form
    839.93/1,260.68 = 429.36/x
  3. Step 3: Cross multiply
    839.93x = 1,260.68 × 429.36
  4. Step 4: Simplify right side
    839.93x = 541,291.37
  5. Step 5: Solve for x
    x = 541,291.37/839.93
  6. Step 6: Final answer
    x = 644.45

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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.