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Finding the Fourth Proportional to 1,072.67, 1,480.56 and 700.58

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Solution

The fourth proportional to 1,072.67, 1,480.56 and 700.58 is: 966.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,072.67 : 1,480.56 = 700.58 : x
  2. Step 2: Convert to fraction form
    1,072.67/1,480.56 = 700.58/x
  3. Step 3: Cross multiply
    1,072.67x = 1,480.56 × 700.58
  4. Step 4: Simplify right side
    1,072.67x = 1,037,250.72
  5. Step 5: Solve for x
    x = 1,037,250.72/1,072.67
  6. Step 6: Final answer
    x = 966.98

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.