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Finding the Fourth Proportional to 840.82, 1,260.04 and 716.77

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Solution

The fourth proportional to 840.82, 1,260.04 and 716.77 is: 1,074.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    840.82 : 1,260.04 = 716.77 : x
  2. Step 2: Convert to fraction form
    840.82/1,260.04 = 716.77/x
  3. Step 3: Cross multiply
    840.82x = 1,260.04 × 716.77
  4. Step 4: Simplify right side
    840.82x = 903,158.87
  5. Step 5: Solve for x
    x = 903,158.87/840.82
  6. Step 6: Final answer
    x = 1,074.14

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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.