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Finding the Fourth Proportional to 1,423.73, 2,134.44 and 764.93

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Solution

The fourth proportional to 1,423.73, 2,134.44 and 764.93 is: 1,146.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,423.73 : 2,134.44 = 764.93 : x
  2. Step 2: Convert to fraction form
    1,423.73/2,134.44 = 764.93/x
  3. Step 3: Cross multiply
    1,423.73x = 2,134.44 × 764.93
  4. Step 4: Simplify right side
    1,423.73x = 1,632,686.52
  5. Step 5: Solve for x
    x = 1,632,686.52/1,423.73
  6. Step 6: Final answer
    x = 1,146.77

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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.