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Finding the Fourth Proportional to 713.23, 1,069.59 and 274.51

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Solution

The fourth proportional to 713.23, 1,069.59 and 274.51 is: 411.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.23 : 1,069.59 = 274.51 : x
  2. Step 2: Convert to fraction form
    713.23/1,069.59 = 274.51/x
  3. Step 3: Cross multiply
    713.23x = 1,069.59 × 274.51
  4. Step 4: Simplify right side
    713.23x = 293,613.15
  5. Step 5: Solve for x
    x = 293,613.15/713.23
  6. Step 6: Final answer
    x = 411.67

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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.