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Finding the Fourth Proportional to 958.91, 1,437.15 and 828.91

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Solution

The fourth proportional to 958.91, 1,437.15 and 828.91 is: 1,242.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    958.91 : 1,437.15 = 828.91 : x
  2. Step 2: Convert to fraction form
    958.91/1,437.15 = 828.91/x
  3. Step 3: Cross multiply
    958.91x = 1,437.15 × 828.91
  4. Step 4: Simplify right side
    958.91x = 1,191,268.01
  5. Step 5: Solve for x
    x = 1,191,268.01/958.91
  6. Step 6: Final answer
    x = 1,242.31

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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.