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Finding the Fourth Proportional to 958.71, 1,437.37 and 471.64

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Solution

The fourth proportional to 958.71, 1,437.37 and 471.64 is: 707.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    958.71 : 1,437.37 = 471.64 : x
  2. Step 2: Convert to fraction form
    958.71/1,437.37 = 471.64/x
  3. Step 3: Cross multiply
    958.71x = 1,437.37 × 471.64
  4. Step 4: Simplify right side
    958.71x = 677,921.19
  5. Step 5: Solve for x
    x = 677,921.19/958.71
  6. Step 6: Final answer
    x = 707.12

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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.