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Finding the Fourth Proportional to 793.67, 1,095.23 and 462.10

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Solution

The fourth proportional to 793.67, 1,095.23 and 462.10 is: 637.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    793.67 : 1,095.23 = 462.10 : x
  2. Step 2: Convert to fraction form
    793.67/1,095.23 = 462.10/x
  3. Step 3: Cross multiply
    793.67x = 1,095.23 × 462.10
  4. Step 4: Simplify right side
    793.67x = 506,100.31
  5. Step 5: Solve for x
    x = 506,100.31/793.67
  6. Step 6: Final answer
    x = 637.67

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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.