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Finding the Fourth Proportional to 871.68, 1,307.04 and 415.68

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Solution

The fourth proportional to 871.68, 1,307.04 and 415.68 is: 623.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    871.68 : 1,307.04 = 415.68 : x
  2. Step 2: Convert to fraction form
    871.68/1,307.04 = 415.68/x
  3. Step 3: Cross multiply
    871.68x = 1,307.04 × 415.68
  4. Step 4: Simplify right side
    871.68x = 543,310.39
  5. Step 5: Solve for x
    x = 543,310.39/871.68
  6. Step 6: Final answer
    x = 623.29

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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.