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Finding the Fourth Proportional to 780.46, 1,076.54 and 593.54

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Solution

The fourth proportional to 780.46, 1,076.54 and 593.54 is: 818.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    780.46 : 1,076.54 = 593.54 : x
  2. Step 2: Convert to fraction form
    780.46/1,076.54 = 593.54/x
  3. Step 3: Cross multiply
    780.46x = 1,076.54 × 593.54
  4. Step 4: Simplify right side
    780.46x = 638,973.61
  5. Step 5: Solve for x
    x = 638,973.61/780.46
  6. Step 6: Final answer
    x = 818.71

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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.