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Finding the Fourth Proportional to 1,072.30, 1,607.35 and 414.04

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Solution

The fourth proportional to 1,072.30, 1,607.35 and 414.04 is: 620.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,072.30 : 1,607.35 = 414.04 : x
  2. Step 2: Convert to fraction form
    1,072.30/1,607.35 = 414.04/x
  3. Step 3: Cross multiply
    1,072.30x = 1,607.35 × 414.04
  4. Step 4: Simplify right side
    1,072.30x = 665,507.19
  5. Step 5: Solve for x
    x = 665,507.19/1,072.30
  6. Step 6: Final answer
    x = 620.64

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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.