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Finding the Fourth Proportional to 1,012.07, 1,396.28 and 638.91

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Solution

The fourth proportional to 1,012.07, 1,396.28 and 638.91 is: 881.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,012.07 : 1,396.28 = 638.91 : x
  2. Step 2: Convert to fraction form
    1,012.07/1,396.28 = 638.91/x
  3. Step 3: Cross multiply
    1,012.07x = 1,396.28 × 638.91
  4. Step 4: Simplify right side
    1,012.07x = 892,094.06
  5. Step 5: Solve for x
    x = 892,094.06/1,012.07
  6. Step 6: Final answer
    x = 881.46

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Why These Related Problems?

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