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Finding the Fourth Proportional to 647.06, 890.26 and 559.58

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Solution

The fourth proportional to 647.06, 890.26 and 559.58 is: 769.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.06 : 890.26 = 559.58 : x
  2. Step 2: Convert to fraction form
    647.06/890.26 = 559.58/x
  3. Step 3: Cross multiply
    647.06x = 890.26 × 559.58
  4. Step 4: Simplify right side
    647.06x = 498,165.84
  5. Step 5: Solve for x
    x = 498,165.84/647.06
  6. Step 6: Final answer
    x = 769.90

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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.