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Finding the Fourth Proportional to 1,299.13, 1,948.70 and 374.60

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Solution

The fourth proportional to 1,299.13, 1,948.70 and 374.60 is: 561.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,299.13 : 1,948.70 = 374.60 : x
  2. Step 2: Convert to fraction form
    1,299.13/1,948.70 = 374.60/x
  3. Step 3: Cross multiply
    1,299.13x = 1,948.70 × 374.60
  4. Step 4: Simplify right side
    1,299.13x = 729,983.02
  5. Step 5: Solve for x
    x = 729,983.02/1,299.13
  6. Step 6: Final answer
    x = 561.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.