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Finding the Fourth Proportional to 1,292.75, 1,938.66 and 470.84

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Solution

The fourth proportional to 1,292.75, 1,938.66 and 470.84 is: 706.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,292.75 : 1,938.66 = 470.84 : x
  2. Step 2: Convert to fraction form
    1,292.75/1,938.66 = 470.84/x
  3. Step 3: Cross multiply
    1,292.75x = 1,938.66 × 470.84
  4. Step 4: Simplify right side
    1,292.75x = 912,788.98
  5. Step 5: Solve for x
    x = 912,788.98/1,292.75
  6. Step 6: Final answer
    x = 706.09

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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.