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Finding the Fourth Proportional to 943.67, 1,302.86 and 649.35

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Solution

The fourth proportional to 943.67, 1,302.86 and 649.35 is: 896.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    943.67 : 1,302.86 = 649.35 : x
  2. Step 2: Convert to fraction form
    943.67/1,302.86 = 649.35/x
  3. Step 3: Cross multiply
    943.67x = 1,302.86 × 649.35
  4. Step 4: Simplify right side
    943.67x = 846,013.76
  5. Step 5: Solve for x
    x = 846,013.76/943.67
  6. Step 6: Final answer
    x = 896.51

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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.