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Finding the Fourth Proportional to 1,298.33, 1,944.87 and 986.53

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Solution

The fourth proportional to 1,298.33, 1,944.87 and 986.53 is: 1,477.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,298.33 : 1,944.87 = 986.53 : x
  2. Step 2: Convert to fraction form
    1,298.33/1,944.87 = 986.53/x
  3. Step 3: Cross multiply
    1,298.33x = 1,944.87 × 986.53
  4. Step 4: Simplify right side
    1,298.33x = 1,918,679.93
  5. Step 5: Solve for x
    x = 1,918,679.93/1,298.33
  6. Step 6: Final answer
    x = 1,477.80

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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.