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Finding the Fourth Proportional to 931.85, 1,397.71 and 282.59

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Solution

The fourth proportional to 931.85, 1,397.71 and 282.59 is: 423.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    931.85 : 1,397.71 = 282.59 : x
  2. Step 2: Convert to fraction form
    931.85/1,397.71 = 282.59/x
  3. Step 3: Cross multiply
    931.85x = 1,397.71 × 282.59
  4. Step 4: Simplify right side
    931.85x = 394,975.89
  5. Step 5: Solve for x
    x = 394,975.89/931.85
  6. Step 6: Final answer
    x = 423.86

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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.