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Finding the Fourth Proportional to 990.12, 1,485.20 and 259.76

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Solution

The fourth proportional to 990.12, 1,485.20 and 259.76 is: 389.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    990.12 : 1,485.20 = 259.76 : x
  2. Step 2: Convert to fraction form
    990.12/1,485.20 = 259.76/x
  3. Step 3: Cross multiply
    990.12x = 1,485.20 × 259.76
  4. Step 4: Simplify right side
    990.12x = 385,795.55
  5. Step 5: Solve for x
    x = 385,795.55/990.12
  6. Step 6: Final answer
    x = 389.65

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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.