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Finding the Fourth Proportional to 916.66, 1,374.77 and 546.57

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Solution

The fourth proportional to 916.66, 1,374.77 and 546.57 is: 819.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    916.66 : 1,374.77 = 546.57 : x
  2. Step 2: Convert to fraction form
    916.66/1,374.77 = 546.57/x
  3. Step 3: Cross multiply
    916.66x = 1,374.77 × 546.57
  4. Step 4: Simplify right side
    916.66x = 751,402.53
  5. Step 5: Solve for x
    x = 751,402.53/916.66
  6. Step 6: Final answer
    x = 819.72

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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.