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Finding the Fourth Proportional to 1,182.14, 1,773.70 and 523.68

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Solution

The fourth proportional to 1,182.14, 1,773.70 and 523.68 is: 785.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,182.14 : 1,773.70 = 523.68 : x
  2. Step 2: Convert to fraction form
    1,182.14/1,773.70 = 523.68/x
  3. Step 3: Cross multiply
    1,182.14x = 1,773.70 × 523.68
  4. Step 4: Simplify right side
    1,182.14x = 928,851.22
  5. Step 5: Solve for x
    x = 928,851.22/1,182.14
  6. Step 6: Final answer
    x = 785.74

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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.