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Finding the Fourth Proportional to 1,008.21, 1,512.03 and 637.77

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Solution

The fourth proportional to 1,008.21, 1,512.03 and 637.77 is: 956.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,008.21 : 1,512.03 = 637.77 : x
  2. Step 2: Convert to fraction form
    1,008.21/1,512.03 = 637.77/x
  3. Step 3: Cross multiply
    1,008.21x = 1,512.03 × 637.77
  4. Step 4: Simplify right side
    1,008.21x = 964,327.37
  5. Step 5: Solve for x
    x = 964,327.37/1,008.21
  6. Step 6: Final answer
    x = 956.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.