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Finding the Fourth Proportional to 786.54, 1,084.42 and 491.70

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Solution

The fourth proportional to 786.54, 1,084.42 and 491.70 is: 677.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    786.54 : 1,084.42 = 491.70 : x
  2. Step 2: Convert to fraction form
    786.54/1,084.42 = 491.70/x
  3. Step 3: Cross multiply
    786.54x = 1,084.42 × 491.70
  4. Step 4: Simplify right side
    786.54x = 533,209.31
  5. Step 5: Solve for x
    x = 533,209.31/786.54
  6. Step 6: Final answer
    x = 677.92

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.