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Finding the Fourth Proportional to 676.90, 1,008.76 and 603.80

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Solution

The fourth proportional to 676.90, 1,008.76 and 603.80 is: 899.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.90 : 1,008.76 = 603.80 : x
  2. Step 2: Convert to fraction form
    676.90/1,008.76 = 603.80/x
  3. Step 3: Cross multiply
    676.90x = 1,008.76 × 603.80
  4. Step 4: Simplify right side
    676.90x = 609,082.73
  5. Step 5: Solve for x
    x = 609,082.73/676.90
  6. Step 6: Final answer
    x = 899.82

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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.