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Finding the Fourth Proportional to 958.80, 1,437.05 and 409.83

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Solution

The fourth proportional to 958.80, 1,437.05 and 409.83 is: 614.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    958.80 : 1,437.05 = 409.83 : x
  2. Step 2: Convert to fraction form
    958.80/1,437.05 = 409.83/x
  3. Step 3: Cross multiply
    958.80x = 1,437.05 × 409.83
  4. Step 4: Simplify right side
    958.80x = 588,941.84
  5. Step 5: Solve for x
    x = 588,941.84/958.80
  6. Step 6: Final answer
    x = 614.25

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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.