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Finding the Fourth Proportional to 840.19, 1,260.50 and 493.81

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Solution

The fourth proportional to 840.19, 1,260.50 and 493.81 is: 740.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    840.19 : 1,260.50 = 493.81 : x
  2. Step 2: Convert to fraction form
    840.19/1,260.50 = 493.81/x
  3. Step 3: Cross multiply
    840.19x = 1,260.50 × 493.81
  4. Step 4: Simplify right side
    840.19x = 622,447.51
  5. Step 5: Solve for x
    x = 622,447.51/840.19
  6. Step 6: Final answer
    x = 740.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.