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Finding the Fourth Proportional to 955.76, 1,424.94 and 931.82

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Solution

The fourth proportional to 955.76, 1,424.94 and 931.82 is: 1,389.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    955.76 : 1,424.94 = 931.82 : x
  2. Step 2: Convert to fraction form
    955.76/1,424.94 = 931.82/x
  3. Step 3: Cross multiply
    955.76x = 1,424.94 × 931.82
  4. Step 4: Simplify right side
    955.76x = 1,327,787.59
  5. Step 5: Solve for x
    x = 1,327,787.59/955.76
  6. Step 6: Final answer
    x = 1,389.25

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.