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Finding the Fourth Proportional to 990.90, 1,486.71 and 464.28

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Solution

The fourth proportional to 990.90, 1,486.71 and 464.28 is: 696.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    990.90 : 1,486.71 = 464.28 : x
  2. Step 2: Convert to fraction form
    990.90/1,486.71 = 464.28/x
  3. Step 3: Cross multiply
    990.90x = 1,486.71 × 464.28
  4. Step 4: Simplify right side
    990.90x = 690,249.72
  5. Step 5: Solve for x
    x = 690,249.72/990.90
  6. Step 6: Final answer
    x = 696.59

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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.