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Finding the Fourth Proportional to 647.56, 897.40 and 635.25

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Solution

The fourth proportional to 647.56, 897.40 and 635.25 is: 880.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.56 : 897.40 = 635.25 : x
  2. Step 2: Convert to fraction form
    647.56/897.40 = 635.25/x
  3. Step 3: Cross multiply
    647.56x = 897.40 × 635.25
  4. Step 4: Simplify right side
    647.56x = 570,073.35
  5. Step 5: Solve for x
    x = 570,073.35/647.56
  6. Step 6: Final answer
    x = 880.34

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.