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Finding the Fourth Proportional to 871.43, 1,307.49 and 384.14

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Solution

The fourth proportional to 871.43, 1,307.49 and 384.14 is: 576.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    871.43 : 1,307.49 = 384.14 : x
  2. Step 2: Convert to fraction form
    871.43/1,307.49 = 384.14/x
  3. Step 3: Cross multiply
    871.43x = 1,307.49 × 384.14
  4. Step 4: Simplify right side
    871.43x = 502,258.25
  5. Step 5: Solve for x
    x = 502,258.25/871.43
  6. Step 6: Final answer
    x = 576.36

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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.