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Finding the Fourth Proportional to 1,289.36, 1,934.04 and 315.46

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Solution

The fourth proportional to 1,289.36, 1,934.04 and 315.46 is: 473.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,289.36 : 1,934.04 = 315.46 : x
  2. Step 2: Convert to fraction form
    1,289.36/1,934.04 = 315.46/x
  3. Step 3: Cross multiply
    1,289.36x = 1,934.04 × 315.46
  4. Step 4: Simplify right side
    1,289.36x = 610,112.26
  5. Step 5: Solve for x
    x = 610,112.26/1,289.36
  6. Step 6: Final answer
    x = 473.19

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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.