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Finding the Fourth Proportional to 1,289.54, 1,934.30 and 467.81

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Solution

The fourth proportional to 1,289.54, 1,934.30 and 467.81 is: 701.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,289.54 : 1,934.30 = 467.81 : x
  2. Step 2: Convert to fraction form
    1,289.54/1,934.30 = 467.81/x
  3. Step 3: Cross multiply
    1,289.54x = 1,934.30 × 467.81
  4. Step 4: Simplify right side
    1,289.54x = 904,875.21
  5. Step 5: Solve for x
    x = 904,875.21/1,289.54
  6. Step 6: Final answer
    x = 701.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.