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Finding the Fourth Proportional to 780.08, 1,076.42 and 500.54

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Solution

The fourth proportional to 780.08, 1,076.42 and 500.54 is: 690.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    780.08 : 1,076.42 = 500.54 : x
  2. Step 2: Convert to fraction form
    780.08/1,076.42 = 500.54/x
  3. Step 3: Cross multiply
    780.08x = 1,076.42 × 500.54
  4. Step 4: Simplify right side
    780.08x = 538,787.14
  5. Step 5: Solve for x
    x = 538,787.14/780.08
  6. Step 6: Final answer
    x = 690.69

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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.