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Finding the Fourth Proportional to 1,220.64, 1,829.16 and 911.04

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Solution

The fourth proportional to 1,220.64, 1,829.16 and 911.04 is: 1,365.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,220.64 : 1,829.16 = 911.04 : x
  2. Step 2: Convert to fraction form
    1,220.64/1,829.16 = 911.04/x
  3. Step 3: Cross multiply
    1,220.64x = 1,829.16 × 911.04
  4. Step 4: Simplify right side
    1,220.64x = 1,666,437.93
  5. Step 5: Solve for x
    x = 1,666,437.93/1,220.64
  6. Step 6: Final answer
    x = 1,365.22

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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.