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Finding the Fourth Proportional to 1,299.05, 1,949 and 933.53

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Solution

The fourth proportional to 1,299.05, 1,949 and 933.53 is: 1,400.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,299.05 : 1,949 = 933.53 : x
  2. Step 2: Convert to fraction form
    1,299.05/1,949 = 933.53/x
  3. Step 3: Cross multiply
    1,299.05x = 1,949 × 933.53
  4. Step 4: Simplify right side
    1,299.05x = 1,819,449.97
  5. Step 5: Solve for x
    x = 1,819,449.97/1,299.05
  6. Step 6: Final answer
    x = 1,400.60

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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.