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Finding the Fourth Proportional to 649.80, 975.24 and 581.76

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Solution

The fourth proportional to 649.80, 975.24 and 581.76 is: 873.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.80 : 975.24 = 581.76 : x
  2. Step 2: Convert to fraction form
    649.80/975.24 = 581.76/x
  3. Step 3: Cross multiply
    649.80x = 975.24 × 581.76
  4. Step 4: Simplify right side
    649.80x = 567,355.62
  5. Step 5: Solve for x
    x = 567,355.62/649.80
  6. Step 6: Final answer
    x = 873.12

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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.