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Finding the Fourth Proportional to 1,072.34, 1,607.75 and 455.73

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Solution

The fourth proportional to 1,072.34, 1,607.75 and 455.73 is: 683.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,072.34 : 1,607.75 = 455.73 : x
  2. Step 2: Convert to fraction form
    1,072.34/1,607.75 = 455.73/x
  3. Step 3: Cross multiply
    1,072.34x = 1,607.75 × 455.73
  4. Step 4: Simplify right side
    1,072.34x = 732,693.31
  5. Step 5: Solve for x
    x = 732,693.31/1,072.34
  6. Step 6: Final answer
    x = 683.27

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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.