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Finding the Fourth Proportional to 780.13, 1,076.58 and 426.05

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Solution

The fourth proportional to 780.13, 1,076.58 and 426.05 is: 587.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    780.13 : 1,076.58 = 426.05 : x
  2. Step 2: Convert to fraction form
    780.13/1,076.58 = 426.05/x
  3. Step 3: Cross multiply
    780.13x = 1,076.58 × 426.05
  4. Step 4: Simplify right side
    780.13x = 458,669.40
  5. Step 5: Solve for x
    x = 458,669.40/780.13
  6. Step 6: Final answer
    x = 587.94

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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.