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Finding the Fourth Proportional to 647.77, 893.95 and 459.05

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Solution

The fourth proportional to 647.77, 893.95 and 459.05 is: 633.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.77 : 893.95 = 459.05 : x
  2. Step 2: Convert to fraction form
    647.77/893.95 = 459.05/x
  3. Step 3: Cross multiply
    647.77x = 893.95 × 459.05
  4. Step 4: Simplify right side
    647.77x = 410,367.69
  5. Step 5: Solve for x
    x = 410,367.69/647.77
  6. Step 6: Final answer
    x = 633.51

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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.