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Finding the Fourth Proportional to 649.59, 972.86 and 563.63

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Solution

The fourth proportional to 649.59, 972.86 and 563.63 is: 844.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.59 : 972.86 = 563.63 : x
  2. Step 2: Convert to fraction form
    649.59/972.86 = 563.63/x
  3. Step 3: Cross multiply
    649.59x = 972.86 × 563.63
  4. Step 4: Simplify right side
    649.59x = 548,325.40
  5. Step 5: Solve for x
    x = 548,325.40/649.59
  6. Step 6: Final answer
    x = 844.11

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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.