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Finding the Fourth Proportional to 647.36, 894 and 524.24

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Solution

The fourth proportional to 647.36, 894 and 524.24 is: 723.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.36 : 894 = 524.24 : x
  2. Step 2: Convert to fraction form
    647.36/894 = 524.24/x
  3. Step 3: Cross multiply
    647.36x = 894 × 524.24
  4. Step 4: Simplify right side
    647.36x = 468,670.56
  5. Step 5: Solve for x
    x = 468,670.56/647.36
  6. Step 6: Final answer
    x = 723.97

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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.