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Finding the Fourth Proportional to 1,012.82, 1,397.69 and 570.80

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Solution

The fourth proportional to 1,012.82, 1,397.69 and 570.80 is: 787.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,012.82 : 1,397.69 = 570.80 : x
  2. Step 2: Convert to fraction form
    1,012.82/1,397.69 = 570.80/x
  3. Step 3: Cross multiply
    1,012.82x = 1,397.69 × 570.80
  4. Step 4: Simplify right side
    1,012.82x = 797,804.01
  5. Step 5: Solve for x
    x = 797,804.01/1,012.82
  6. Step 6: Final answer
    x = 787.71

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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.