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Finding the Fourth Proportional to 795.76, 1,193.34 and 471.22

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Solution

The fourth proportional to 795.76, 1,193.34 and 471.22 is: 706.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    795.76 : 1,193.34 = 471.22 : x
  2. Step 2: Convert to fraction form
    795.76/1,193.34 = 471.22/x
  3. Step 3: Cross multiply
    795.76x = 1,193.34 × 471.22
  4. Step 4: Simplify right side
    795.76x = 562,325.67
  5. Step 5: Solve for x
    x = 562,325.67/795.76
  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.