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Finding the Fourth Proportional to 647.93, 894.51 and 461.63

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Solution

The fourth proportional to 647.93, 894.51 and 461.63 is: 637.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.93 : 894.51 = 461.63 : x
  2. Step 2: Convert to fraction form
    647.93/894.51 = 461.63/x
  3. Step 3: Cross multiply
    647.93x = 894.51 × 461.63
  4. Step 4: Simplify right side
    647.93x = 412,934.89
  5. Step 5: Solve for x
    x = 412,934.89/647.93
  6. Step 6: Final answer
    x = 637.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.