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Finding the Fourth Proportional to 957.65, 1,435.19 and 546.44

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Solution

The fourth proportional to 957.65, 1,435.19 and 546.44 is: 818.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    957.65 : 1,435.19 = 546.44 : x
  2. Step 2: Convert to fraction form
    957.65/1,435.19 = 546.44/x
  3. Step 3: Cross multiply
    957.65x = 1,435.19 × 546.44
  4. Step 4: Simplify right side
    957.65x = 784,235.32
  5. Step 5: Solve for x
    x = 784,235.32/957.65
  6. Step 6: Final answer
    x = 818.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.