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Finding the Fourth Proportional to 955.77, 1,433.61 and 262.50

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Solution

The fourth proportional to 955.77, 1,433.61 and 262.50 is: 393.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    955.77 : 1,433.61 = 262.50 : x
  2. Step 2: Convert to fraction form
    955.77/1,433.61 = 262.50/x
  3. Step 3: Cross multiply
    955.77x = 1,433.61 × 262.50
  4. Step 4: Simplify right side
    955.77x = 376,322.63
  5. Step 5: Solve for x
    x = 376,322.63/955.77
  6. Step 6: Final answer
    x = 393.74

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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.