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Finding the Fourth Proportional to 985.96, 1,477.99 and 438.09

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Solution

The fourth proportional to 985.96, 1,477.99 and 438.09 is: 656.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    985.96 : 1,477.99 = 438.09 : x
  2. Step 2: Convert to fraction form
    985.96/1,477.99 = 438.09/x
  3. Step 3: Cross multiply
    985.96x = 1,477.99 × 438.09
  4. Step 4: Simplify right side
    985.96x = 647,492.64
  5. Step 5: Solve for x
    x = 647,492.64/985.96
  6. Step 6: Final answer
    x = 656.71

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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.