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Finding the Fourth Proportional to 676.46, 1,010.74 and 500.02

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Solution

The fourth proportional to 676.46, 1,010.74 and 500.02 is: 747.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.46 : 1,010.74 = 500.02 : x
  2. Step 2: Convert to fraction form
    676.46/1,010.74 = 500.02/x
  3. Step 3: Cross multiply
    676.46x = 1,010.74 × 500.02
  4. Step 4: Simplify right side
    676.46x = 505,390.21
  5. Step 5: Solve for x
    x = 505,390.21/676.46
  6. Step 6: Final answer
    x = 747.11

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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.