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Finding the Fourth Proportional to 649.13, 894.96 and 530.96

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Solution

The fourth proportional to 649.13, 894.96 and 530.96 is: 732.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.13 : 894.96 = 530.96 : x
  2. Step 2: Convert to fraction form
    649.13/894.96 = 530.96/x
  3. Step 3: Cross multiply
    649.13x = 894.96 × 530.96
  4. Step 4: Simplify right side
    649.13x = 475,183.49
  5. Step 5: Solve for x
    x = 475,183.49/649.13
  6. Step 6: Final answer
    x = 732.04

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.