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Finding the Fourth Proportional to 1,296.86, 1,945.96 and 990.68

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Solution

The fourth proportional to 1,296.86, 1,945.96 and 990.68 is: 1,486.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,296.86 : 1,945.96 = 990.68 : x
  2. Step 2: Convert to fraction form
    1,296.86/1,945.96 = 990.68/x
  3. Step 3: Cross multiply
    1,296.86x = 1,945.96 × 990.68
  4. Step 4: Simplify right side
    1,296.86x = 1,927,811.45
  5. Step 5: Solve for x
    x = 1,927,811.45/1,296.86
  6. Step 6: Final answer
    x = 1,486.53

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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.