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Finding the Fourth Proportional to 670.38, 918.44 and 644.46

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Solution

The fourth proportional to 670.38, 918.44 and 644.46 is: 882.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    670.38 : 918.44 = 644.46 : x
  2. Step 2: Convert to fraction form
    670.38/918.44 = 644.46/x
  3. Step 3: Cross multiply
    670.38x = 918.44 × 644.46
  4. Step 4: Simplify right side
    670.38x = 591,897.84
  5. Step 5: Solve for x
    x = 591,897.84/670.38
  6. Step 6: Final answer
    x = 882.93

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.