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Finding the Fourth Proportional to 1,299.56, 1,950.00 and 569.14

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Solution

The fourth proportional to 1,299.56, 1,950.00 and 569.14 is: 854.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,299.56 : 1,950.00 = 569.14 : x
  2. Step 2: Convert to fraction form
    1,299.56/1,950.00 = 569.14/x
  3. Step 3: Cross multiply
    1,299.56x = 1,950.00 × 569.14
  4. Step 4: Simplify right side
    1,299.56x = 1,109,820.15
  5. Step 5: Solve for x
    x = 1,109,820.15/1,299.56
  6. Step 6: Final answer
    x = 854.00

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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.