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Finding the Fourth Proportional to 1,220.96, 1,832.40 and 571.76

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Solution

The fourth proportional to 1,220.96, 1,832.40 and 571.76 is: 858.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,220.96 : 1,832.40 = 571.76 : x
  2. Step 2: Convert to fraction form
    1,220.96/1,832.40 = 571.76/x
  3. Step 3: Cross multiply
    1,220.96x = 1,832.40 × 571.76
  4. Step 4: Simplify right side
    1,220.96x = 1,047,693.02
  5. Step 5: Solve for x
    x = 1,047,693.02/1,220.96
  6. Step 6: Final answer
    x = 858.09

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Why These Related Problems?

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