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Finding the Fourth Proportional to 992.41, 1,486.68 and 471.67

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Solution

The fourth proportional to 992.41, 1,486.68 and 471.67 is: 706.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    992.41 : 1,486.68 = 471.67 : x
  2. Step 2: Convert to fraction form
    992.41/1,486.68 = 471.67/x
  3. Step 3: Cross multiply
    992.41x = 1,486.68 × 471.67
  4. Step 4: Simplify right side
    992.41x = 701,222.36
  5. Step 5: Solve for x
    x = 701,222.36/992.41
  6. Step 6: Final answer
    x = 706.59

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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.