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Finding the Fourth Proportional to 792.63, 1,182.02 and 785.34

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Solution

The fourth proportional to 792.63, 1,182.02 and 785.34 is: 1,171.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    792.63 : 1,182.02 = 785.34 : x
  2. Step 2: Convert to fraction form
    792.63/1,182.02 = 785.34/x
  3. Step 3: Cross multiply
    792.63x = 1,182.02 × 785.34
  4. Step 4: Simplify right side
    792.63x = 928,283.66
  5. Step 5: Solve for x
    x = 928,283.66/792.63
  6. Step 6: Final answer
    x = 1,171.14

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.