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Finding the Fourth Proportional to 647.94, 894.45 and 461.58

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Solution

The fourth proportional to 647.94, 894.45 and 461.58 is: 637.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.94 : 894.45 = 461.58 : x
  2. Step 2: Convert to fraction form
    647.94/894.45 = 461.58/x
  3. Step 3: Cross multiply
    647.94x = 894.45 × 461.58
  4. Step 4: Simplify right side
    647.94x = 412,860.23
  5. Step 5: Solve for x
    x = 412,860.23/647.94
  6. Step 6: Final answer
    x = 637.19

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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.