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Finding the Fourth Proportional to 958.83, 1,437.92 and 464.95

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Solution

The fourth proportional to 958.83, 1,437.92 and 464.95 is: 697.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    958.83 : 1,437.92 = 464.95 : x
  2. Step 2: Convert to fraction form
    958.83/1,437.92 = 464.95/x
  3. Step 3: Cross multiply
    958.83x = 1,437.92 × 464.95
  4. Step 4: Simplify right side
    958.83x = 668,560.90
  5. Step 5: Solve for x
    x = 668,560.90/958.83
  6. Step 6: Final answer
    x = 697.27

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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.