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Finding the Fourth Proportional to 958.02, 1,437.49 and 842.30

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Solution

The fourth proportional to 958.02, 1,437.49 and 842.30 is: 1,263.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    958.02 : 1,437.49 = 842.30 : x
  2. Step 2: Convert to fraction form
    958.02/1,437.49 = 842.30/x
  3. Step 3: Cross multiply
    958.02x = 1,437.49 × 842.30
  4. Step 4: Simplify right side
    958.02x = 1,210,797.83
  5. Step 5: Solve for x
    x = 1,210,797.83/958.02
  6. Step 6: Final answer
    x = 1,263.85

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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.