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Finding the Fourth Proportional to 786.68, 1,085.42 and 476.12

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Solution

The fourth proportional to 786.68, 1,085.42 and 476.12 is: 656.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    786.68 : 1,085.42 = 476.12 : x
  2. Step 2: Convert to fraction form
    786.68/1,085.42 = 476.12/x
  3. Step 3: Cross multiply
    786.68x = 1,085.42 × 476.12
  4. Step 4: Simplify right side
    786.68x = 516,790.17
  5. Step 5: Solve for x
    x = 516,790.17/786.68
  6. Step 6: Final answer
    x = 656.93

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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.