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Finding the Fourth Proportional to 786.73, 1,085.70 and 455.19

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Solution

The fourth proportional to 786.73, 1,085.70 and 455.19 is: 628.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    786.73 : 1,085.70 = 455.19 : x
  2. Step 2: Convert to fraction form
    786.73/1,085.70 = 455.19/x
  3. Step 3: Cross multiply
    786.73x = 1,085.70 × 455.19
  4. Step 4: Simplify right side
    786.73x = 494,199.78
  5. Step 5: Solve for x
    x = 494,199.78/786.73
  6. Step 6: Final answer
    x = 628.17

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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.