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Finding the Fourth Proportional to 780.51, 1,171.49 and 546.33

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Solution

The fourth proportional to 780.51, 1,171.49 and 546.33 is: 820.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    780.51 : 1,171.49 = 546.33 : x
  2. Step 2: Convert to fraction form
    780.51/1,171.49 = 546.33/x
  3. Step 3: Cross multiply
    780.51x = 1,171.49 × 546.33
  4. Step 4: Simplify right side
    780.51x = 640,017.40
  5. Step 5: Solve for x
    x = 640,017.40/780.51
  6. Step 6: Final answer
    x = 820.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.