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Finding the Fourth Proportional to 1,220.18, 1,829.32 and 571.37

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Solution

The fourth proportional to 1,220.18, 1,829.32 and 571.37 is: 856.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,220.18 : 1,829.32 = 571.37 : x
  2. Step 2: Convert to fraction form
    1,220.18/1,829.32 = 571.37/x
  3. Step 3: Cross multiply
    1,220.18x = 1,829.32 × 571.37
  4. Step 4: Simplify right side
    1,220.18x = 1,045,207.99
  5. Step 5: Solve for x
    x = 1,045,207.99/1,220.18
  6. Step 6: Final answer
    x = 856.60

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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.