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Finding the Fourth Proportional to 931.88, 1,397.82 and 384.14

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Solution

The fourth proportional to 931.88, 1,397.82 and 384.14 is: 576.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    931.88 : 1,397.82 = 384.14 : x
  2. Step 2: Convert to fraction form
    931.88/1,397.82 = 384.14/x
  3. Step 3: Cross multiply
    931.88x = 1,397.82 × 384.14
  4. Step 4: Simplify right side
    931.88x = 536,958.57
  5. Step 5: Solve for x
    x = 536,958.57/931.88
  6. Step 6: Final answer
    x = 576.21

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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.