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Finding the Fourth Proportional to 1,298.03, 1,945.96 and 567.05

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Solution

The fourth proportional to 1,298.03, 1,945.96 and 567.05 is: 850.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,298.03 : 1,945.96 = 567.05 : x
  2. Step 2: Convert to fraction form
    1,298.03/1,945.96 = 567.05/x
  3. Step 3: Cross multiply
    1,298.03x = 1,945.96 × 567.05
  4. Step 4: Simplify right side
    1,298.03x = 1,103,453.78
  5. Step 5: Solve for x
    x = 1,103,453.78/1,298.03
  6. Step 6: Final answer
    x = 850.10

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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.