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Finding the Fourth Proportional to 840.48, 1,260.81 and 407.58

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Solution

The fourth proportional to 840.48, 1,260.81 and 407.58 is: 611.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    840.48 : 1,260.81 = 407.58 : x
  2. Step 2: Convert to fraction form
    840.48/1,260.81 = 407.58/x
  3. Step 3: Cross multiply
    840.48x = 1,260.81 × 407.58
  4. Step 4: Simplify right side
    840.48x = 513,880.94
  5. Step 5: Solve for x
    x = 513,880.94/840.48
  6. Step 6: Final answer
    x = 611.41

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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.