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Finding the Fourth Proportional to 1,012.82, 1,397.32 and 663.98

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Solution

The fourth proportional to 1,012.82, 1,397.32 and 663.98 is: 916.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,012.82 : 1,397.32 = 663.98 : x
  2. Step 2: Convert to fraction form
    1,012.82/1,397.32 = 663.98/x
  3. Step 3: Cross multiply
    1,012.82x = 1,397.32 × 663.98
  4. Step 4: Simplify right side
    1,012.82x = 927,783.89
  5. Step 5: Solve for x
    x = 927,783.89/1,012.82
  6. Step 6: Final answer
    x = 916.04

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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.