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Finding the Fourth Proportional to 990.59, 1,485.72 and 442.62

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Solution

The fourth proportional to 990.59, 1,485.72 and 442.62 is: 663.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    990.59 : 1,485.72 = 442.62 : x
  2. Step 2: Convert to fraction form
    990.59/1,485.72 = 442.62/x
  3. Step 3: Cross multiply
    990.59x = 1,485.72 × 442.62
  4. Step 4: Simplify right side
    990.59x = 657,609.39
  5. Step 5: Solve for x
    x = 657,609.39/990.59
  6. Step 6: Final answer
    x = 663.86

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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.