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Finding the Fourth Proportional to 676.02, 1,009.64 and 638.76

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Solution

The fourth proportional to 676.02, 1,009.64 and 638.76 is: 953.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.02 : 1,009.64 = 638.76 : x
  2. Step 2: Convert to fraction form
    676.02/1,009.64 = 638.76/x
  3. Step 3: Cross multiply
    676.02x = 1,009.64 × 638.76
  4. Step 4: Simplify right side
    676.02x = 644,914.45
  5. Step 5: Solve for x
    x = 644,914.45/676.02
  6. Step 6: Final answer
    x = 953.99

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.