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Finding the Fourth Proportional to 916.65, 1,374.76 and 546.56

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Solution

The fourth proportional to 916.65, 1,374.76 and 546.56 is: 819.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    916.65 : 1,374.76 = 546.56 : x
  2. Step 2: Convert to fraction form
    916.65/1,374.76 = 546.56/x
  3. Step 3: Cross multiply
    916.65x = 1,374.76 × 546.56
  4. Step 4: Simplify right side
    916.65x = 751,390.19
  5. Step 5: Solve for x
    x = 751,390.19/916.65
  6. Step 6: Final answer
    x = 819.71

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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.