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Finding the Fourth Proportional to 670.94, 1,004.16 and 645.38

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Solution

The fourth proportional to 670.94, 1,004.16 and 645.38 is: 965.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    670.94 : 1,004.16 = 645.38 : x
  2. Step 2: Convert to fraction form
    670.94/1,004.16 = 645.38/x
  3. Step 3: Cross multiply
    670.94x = 1,004.16 × 645.38
  4. Step 4: Simplify right side
    670.94x = 648,064.78
  5. Step 5: Solve for x
    x = 648,064.78/670.94
  6. Step 6: Final answer
    x = 965.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.