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Finding the Fourth Proportional to 955.99, 1,433.68 and 649.81

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Solution

The fourth proportional to 955.99, 1,433.68 and 649.81 is: 974.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    955.99 : 1,433.68 = 649.81 : x
  2. Step 2: Convert to fraction form
    955.99/1,433.68 = 649.81/x
  3. Step 3: Cross multiply
    955.99x = 1,433.68 × 649.81
  4. Step 4: Simplify right side
    955.99x = 931,611.16
  5. Step 5: Solve for x
    x = 931,611.16/955.99
  6. Step 6: Final answer
    x = 974.50

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Why These Related Problems?

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