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Finding the Fourth Proportional to 955.42, 1,314.68 and 926.87

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Solution

The fourth proportional to 955.42, 1,314.68 and 926.87 is: 1,275.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    955.42 : 1,314.68 = 926.87 : x
  2. Step 2: Convert to fraction form
    955.42/1,314.68 = 926.87/x
  3. Step 3: Cross multiply
    955.42x = 1,314.68 × 926.87
  4. Step 4: Simplify right side
    955.42x = 1,218,537.45
  5. Step 5: Solve for x
    x = 1,218,537.45/955.42
  6. Step 6: Final answer
    x = 1,275.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.