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Finding the Fourth Proportional to 871.96, 1,307.67 and 409.45

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Solution

The fourth proportional to 871.96, 1,307.67 and 409.45 is: 614.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    871.96 : 1,307.67 = 409.45 : x
  2. Step 2: Convert to fraction form
    871.96/1,307.67 = 409.45/x
  3. Step 3: Cross multiply
    871.96x = 1,307.67 × 409.45
  4. Step 4: Simplify right side
    871.96x = 535,425.48
  5. Step 5: Solve for x
    x = 535,425.48/871.96
  6. Step 6: Final answer
    x = 614.05

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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.