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Finding the Fourth Proportional to 1,012.42, 1,397.03 and 570.31

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Solution

The fourth proportional to 1,012.42, 1,397.03 and 570.31 is: 786.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,012.42 : 1,397.03 = 570.31 : x
  2. Step 2: Convert to fraction form
    1,012.42/1,397.03 = 570.31/x
  3. Step 3: Cross multiply
    1,012.42x = 1,397.03 × 570.31
  4. Step 4: Simplify right side
    1,012.42x = 796,740.18
  5. Step 5: Solve for x
    x = 796,740.18/1,012.42
  6. Step 6: Final answer
    x = 786.97

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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.