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Finding the Fourth Proportional to 956.60, 1,435.74 and 546.56

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Solution

The fourth proportional to 956.60, 1,435.74 and 546.56 is: 820.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    956.60 : 1,435.74 = 546.56 : x
  2. Step 2: Convert to fraction form
    956.60/1,435.74 = 546.56/x
  3. Step 3: Cross multiply
    956.60x = 1,435.74 × 546.56
  4. Step 4: Simplify right side
    956.60x = 784,718.05
  5. Step 5: Solve for x
    x = 784,718.05/956.60
  6. Step 6: Final answer
    x = 820.32

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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.