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Finding the Fourth Proportional to 647.12, 893.64 and 645.80

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Solution

The fourth proportional to 647.12, 893.64 and 645.80 is: 891.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.12 : 893.64 = 645.80 : x
  2. Step 2: Convert to fraction form
    647.12/893.64 = 645.80/x
  3. Step 3: Cross multiply
    647.12x = 893.64 × 645.80
  4. Step 4: Simplify right side
    647.12x = 577,112.71
  5. Step 5: Solve for x
    x = 577,112.71/647.12
  6. Step 6: Final answer
    x = 891.82

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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.