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Finding the Fourth Proportional to 780.21, 1,076.52 and 465.33

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Solution

The fourth proportional to 780.21, 1,076.52 and 465.33 is: 642.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    780.21 : 1,076.52 = 465.33 : x
  2. Step 2: Convert to fraction form
    780.21/1,076.52 = 465.33/x
  3. Step 3: Cross multiply
    780.21x = 1,076.52 × 465.33
  4. Step 4: Simplify right side
    780.21x = 500,937.05
  5. Step 5: Solve for x
    x = 500,937.05/780.21
  6. Step 6: Final answer
    x = 642.05

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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.