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Finding the Fourth Proportional to 1,350.45, 2,024.55 and 571.05

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Solution

The fourth proportional to 1,350.45, 2,024.55 and 571.05 is: 856.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,350.45 : 2,024.55 = 571.05 : x
  2. Step 2: Convert to fraction form
    1,350.45/2,024.55 = 571.05/x
  3. Step 3: Cross multiply
    1,350.45x = 2,024.55 × 571.05
  4. Step 4: Simplify right side
    1,350.45x = 1,156,119.28
  5. Step 5: Solve for x
    x = 1,156,119.28/1,350.45
  6. Step 6: Final answer
    x = 856.10

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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.