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Finding the Fourth Proportional to 675.21, 1,009.98 and 625.98

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Solution

The fourth proportional to 675.21, 1,009.98 and 625.98 is: 936.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.21 : 1,009.98 = 625.98 : x
  2. Step 2: Convert to fraction form
    675.21/1,009.98 = 625.98/x
  3. Step 3: Cross multiply
    675.21x = 1,009.98 × 625.98
  4. Step 4: Simplify right side
    675.21x = 632,227.28
  5. Step 5: Solve for x
    x = 632,227.28/675.21
  6. Step 6: Final answer
    x = 936.34

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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.