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Finding the Fourth Proportional to 792.18, 1,093.50 and 497.45

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Solution

The fourth proportional to 792.18, 1,093.50 and 497.45 is: 686.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    792.18 : 1,093.50 = 497.45 : x
  2. Step 2: Convert to fraction form
    792.18/1,093.50 = 497.45/x
  3. Step 3: Cross multiply
    792.18x = 1,093.50 × 497.45
  4. Step 4: Simplify right side
    792.18x = 543,964.31
  5. Step 5: Solve for x
    x = 543,964.31/792.18
  6. Step 6: Final answer
    x = 686.67

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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.