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Finding the Fourth Proportional to 847.34, 1,270.64 and 292.10

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Solution

The fourth proportional to 847.34, 1,270.64 and 292.10 is: 438.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    847.34 : 1,270.64 = 292.10 : x
  2. Step 2: Convert to fraction form
    847.34/1,270.64 = 292.10/x
  3. Step 3: Cross multiply
    847.34x = 1,270.64 × 292.10
  4. Step 4: Simplify right side
    847.34x = 371,157.85
  5. Step 5: Solve for x
    x = 371,157.85/847.34
  6. Step 6: Final answer
    x = 438.03

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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.