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Finding the Fourth Proportional to 1,260.81, 1,740.24 and 818.67

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Solution

The fourth proportional to 1,260.81, 1,740.24 and 818.67 is: 1,129.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,260.81 : 1,740.24 = 818.67 : x
  2. Step 2: Convert to fraction form
    1,260.81/1,740.24 = 818.67/x
  3. Step 3: Cross multiply
    1,260.81x = 1,740.24 × 818.67
  4. Step 4: Simplify right side
    1,260.81x = 1,424,682.28
  5. Step 5: Solve for x
    x = 1,424,682.28/1,260.81
  6. Step 6: Final answer
    x = 1,129.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.