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Finding the Fourth Proportional to 715.78, 1,073.98 and 386.34

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Solution

The fourth proportional to 715.78, 1,073.98 and 386.34 is: 579.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    715.78 : 1,073.98 = 386.34 : x
  2. Step 2: Convert to fraction form
    715.78/1,073.98 = 386.34/x
  3. Step 3: Cross multiply
    715.78x = 1,073.98 × 386.34
  4. Step 4: Simplify right side
    715.78x = 414,917.89
  5. Step 5: Solve for x
    x = 414,917.89/715.78
  6. Step 6: Final answer
    x = 579.67

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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.