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Finding the Fourth Proportional to 986.41, 1,477.68 and 465.67

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Solution

The fourth proportional to 986.41, 1,477.68 and 465.67 is: 697.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    986.41 : 1,477.68 = 465.67 : x
  2. Step 2: Convert to fraction form
    986.41/1,477.68 = 465.67/x
  3. Step 3: Cross multiply
    986.41x = 1,477.68 × 465.67
  4. Step 4: Simplify right side
    986.41x = 688,111.25
  5. Step 5: Solve for x
    x = 688,111.25/986.41
  6. Step 6: Final answer
    x = 697.59

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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.