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Finding the Fourth Proportional to 1,072.69, 1,607.79 and 455.47

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Solution

The fourth proportional to 1,072.69, 1,607.79 and 455.47 is: 682.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,072.69 : 1,607.79 = 455.47 : x
  2. Step 2: Convert to fraction form
    1,072.69/1,607.79 = 455.47/x
  3. Step 3: Cross multiply
    1,072.69x = 1,607.79 × 455.47
  4. Step 4: Simplify right side
    1,072.69x = 732,300.11
  5. Step 5: Solve for x
    x = 732,300.11/1,072.69
  6. Step 6: Final answer
    x = 682.68

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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.