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Finding the Fourth Proportional to 651.21, 896.58 and 519.99

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Solution

The fourth proportional to 651.21, 896.58 and 519.99 is: 715.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.21 : 896.58 = 519.99 : x
  2. Step 2: Convert to fraction form
    651.21/896.58 = 519.99/x
  3. Step 3: Cross multiply
    651.21x = 896.58 × 519.99
  4. Step 4: Simplify right side
    651.21x = 466,212.63
  5. Step 5: Solve for x
    x = 466,212.63/651.21
  6. Step 6: Final answer
    x = 715.92

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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.