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Finding the Fourth Proportional to 647.84, 892.34 and 451

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Solution

The fourth proportional to 647.84, 892.34 and 451 is: 621.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.84 : 892.34 = 451 : x
  2. Step 2: Convert to fraction form
    647.84/892.34 = 451/x
  3. Step 3: Cross multiply
    647.84x = 892.34 × 451
  4. Step 4: Simplify right side
    647.84x = 402,445.34
  5. Step 5: Solve for x
    x = 402,445.34/647.84
  6. Step 6: Final answer
    x = 621.21

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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.