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Finding the Fourth Proportional to 1,105.37, 1,664.64 and 962.81

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Solution

The fourth proportional to 1,105.37, 1,664.64 and 962.81 is: 1,449.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,105.37 : 1,664.64 = 962.81 : x
  2. Step 2: Convert to fraction form
    1,105.37/1,664.64 = 962.81/x
  3. Step 3: Cross multiply
    1,105.37x = 1,664.64 × 962.81
  4. Step 4: Simplify right side
    1,105.37x = 1,602,729.63
  5. Step 5: Solve for x
    x = 1,602,729.63/1,105.37
  6. Step 6: Final answer
    x = 1,449.95

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.