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Finding the Fourth Proportional to 1,220.04, 1,829.64 and 398.16

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Solution

The fourth proportional to 1,220.04, 1,829.64 and 398.16 is: 597.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,220.04 : 1,829.64 = 398.16 : x
  2. Step 2: Convert to fraction form
    1,220.04/1,829.64 = 398.16/x
  3. Step 3: Cross multiply
    1,220.04x = 1,829.64 × 398.16
  4. Step 4: Simplify right side
    1,220.04x = 728,489.46
  5. Step 5: Solve for x
    x = 728,489.46/1,220.04
  6. Step 6: Final answer
    x = 597.10

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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.