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Finding the Fourth Proportional to 786.59, 1,085.60 and 476.09

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Solution

The fourth proportional to 786.59, 1,085.60 and 476.09 is: 657.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    786.59 : 1,085.60 = 476.09 : x
  2. Step 2: Convert to fraction form
    786.59/1,085.60 = 476.09/x
  3. Step 3: Cross multiply
    786.59x = 1,085.60 × 476.09
  4. Step 4: Simplify right side
    786.59x = 516,843.30
  5. Step 5: Solve for x
    x = 516,843.30/786.59
  6. Step 6: Final answer
    x = 657.07

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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.