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Finding the Fourth Proportional to 1,289.97, 1,934.46 and 468.05

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Solution

The fourth proportional to 1,289.97, 1,934.46 and 468.05 is: 701.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,289.97 : 1,934.46 = 468.05 : x
  2. Step 2: Convert to fraction form
    1,289.97/1,934.46 = 468.05/x
  3. Step 3: Cross multiply
    1,289.97x = 1,934.46 × 468.05
  4. Step 4: Simplify right side
    1,289.97x = 905,411.99
  5. Step 5: Solve for x
    x = 905,411.99/1,289.97
  6. Step 6: Final answer
    x = 701.89

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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.