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Finding the Fourth Proportional to 1,225.04, 1,836.48 and 455.36

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Solution

The fourth proportional to 1,225.04, 1,836.48 and 455.36 is: 682.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,225.04 : 1,836.48 = 455.36 : x
  2. Step 2: Convert to fraction form
    1,225.04/1,836.48 = 455.36/x
  3. Step 3: Cross multiply
    1,225.04x = 1,836.48 × 455.36
  4. Step 4: Simplify right side
    1,225.04x = 836,259.53
  5. Step 5: Solve for x
    x = 836,259.53/1,225.04
  6. Step 6: Final answer
    x = 682.64

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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.