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Finding the Fourth Proportional to 1,292.76, 1,937.79 and 562.14

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Solution

The fourth proportional to 1,292.76, 1,937.79 and 562.14 is: 842.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,292.76 : 1,937.79 = 562.14 : x
  2. Step 2: Convert to fraction form
    1,292.76/1,937.79 = 562.14/x
  3. Step 3: Cross multiply
    1,292.76x = 1,937.79 × 562.14
  4. Step 4: Simplify right side
    1,292.76x = 1,089,309.27
  5. Step 5: Solve for x
    x = 1,089,309.27/1,292.76
  6. Step 6: Final answer
    x = 842.62

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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.