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Finding the Fourth Proportional to 785.80, 1,084.09 and 471.07

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Solution

The fourth proportional to 785.80, 1,084.09 and 471.07 is: 649.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.80 : 1,084.09 = 471.07 : x
  2. Step 2: Convert to fraction form
    785.80/1,084.09 = 471.07/x
  3. Step 3: Cross multiply
    785.80x = 1,084.09 × 471.07
  4. Step 4: Simplify right side
    785.80x = 510,674.50
  5. Step 5: Solve for x
    x = 510,674.50/785.80
  6. Step 6: Final answer
    x = 649.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.