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Finding the Fourth Proportional to 649.14, 974.03 and 595.68

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Solution

The fourth proportional to 649.14, 974.03 and 595.68 is: 893.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.14 : 974.03 = 595.68 : x
  2. Step 2: Convert to fraction form
    649.14/974.03 = 595.68/x
  3. Step 3: Cross multiply
    649.14x = 974.03 × 595.68
  4. Step 4: Simplify right side
    649.14x = 580,207.21
  5. Step 5: Solve for x
    x = 580,207.21/649.14
  6. Step 6: Final answer
    x = 893.81

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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.