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Finding the Fourth Proportional to 651.45, 898.20 and 511.14

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Solution

The fourth proportional to 651.45, 898.20 and 511.14 is: 704.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.45 : 898.20 = 511.14 : x
  2. Step 2: Convert to fraction form
    651.45/898.20 = 511.14/x
  3. Step 3: Cross multiply
    651.45x = 898.20 × 511.14
  4. Step 4: Simplify right side
    651.45x = 459,105.95
  5. Step 5: Solve for x
    x = 459,105.95/651.45
  6. Step 6: Final answer
    x = 704.74

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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.