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Finding the Fourth Proportional to 785.53, 1,084 and 470.61

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Solution

The fourth proportional to 785.53, 1,084 and 470.61 is: 649.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.53 : 1,084 = 470.61 : x
  2. Step 2: Convert to fraction form
    785.53/1,084 = 470.61/x
  3. Step 3: Cross multiply
    785.53x = 1,084 × 470.61
  4. Step 4: Simplify right side
    785.53x = 510,141.24
  5. Step 5: Solve for x
    x = 510,141.24/785.53
  6. Step 6: Final answer
    x = 649.42

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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.