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Finding the Fourth Proportional to 795.92, 1,193.87 and 471.11

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Solution

The fourth proportional to 795.92, 1,193.87 and 471.11 is: 706.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    795.92 : 1,193.87 = 471.11 : x
  2. Step 2: Convert to fraction form
    795.92/1,193.87 = 471.11/x
  3. Step 3: Cross multiply
    795.92x = 1,193.87 × 471.11
  4. Step 4: Simplify right side
    795.92x = 562,435.77
  5. Step 5: Solve for x
    x = 562,435.77/795.92
  6. Step 6: Final answer
    x = 706.65

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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.