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Finding the Fourth Proportional to 847.80, 1,270.89 and 436.77

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Solution

The fourth proportional to 847.80, 1,270.89 and 436.77 is: 654.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    847.80 : 1,270.89 = 436.77 : x
  2. Step 2: Convert to fraction form
    847.80/1,270.89 = 436.77/x
  3. Step 3: Cross multiply
    847.80x = 1,270.89 × 436.77
  4. Step 4: Simplify right side
    847.80x = 555,086.63
  5. Step 5: Solve for x
    x = 555,086.63/847.80
  6. Step 6: Final answer
    x = 654.74

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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.