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Finding the Fourth Proportional to 852.86, 1,176.36 and 742.16

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Solution

The fourth proportional to 852.86, 1,176.36 and 742.16 is: 1,023.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    852.86 : 1,176.36 = 742.16 : x
  2. Step 2: Convert to fraction form
    852.86/1,176.36 = 742.16/x
  3. Step 3: Cross multiply
    852.86x = 1,176.36 × 742.16
  4. Step 4: Simplify right side
    852.86x = 873,047.34
  5. Step 5: Solve for x
    x = 873,047.34/852.86
  6. Step 6: Final answer
    x = 1,023.67

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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.