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Finding the Fourth Proportional to 598, 897.06 and 517.36

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Solution

The fourth proportional to 598, 897.06 and 517.36 is: 776.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    598 : 897.06 = 517.36 : x
  2. Step 2: Convert to fraction form
    598/897.06 = 517.36/x
  3. Step 3: Cross multiply
    598x = 897.06 × 517.36
  4. Step 4: Simplify right side
    598x = 464,102.96
  5. Step 5: Solve for x
    x = 464,102.96/598
  6. Step 6: Final answer
    x = 776.09

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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.