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Finding the Fourth Proportional to 619.60, 857.04 and 505.84

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Solution

The fourth proportional to 619.60, 857.04 and 505.84 is: 699.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    619.60 : 857.04 = 505.84 : x
  2. Step 2: Convert to fraction form
    619.60/857.04 = 505.84/x
  3. Step 3: Cross multiply
    619.60x = 857.04 × 505.84
  4. Step 4: Simplify right side
    619.60x = 433,525.11
  5. Step 5: Solve for x
    x = 433,525.11/619.60
  6. Step 6: Final answer
    x = 699.69

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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.