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Finding the Fourth Proportional to 916.03, 1,374.05 and 857.71

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Solution

The fourth proportional to 916.03, 1,374.05 and 857.71 is: 1,286.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    916.03 : 1,374.05 = 857.71 : x
  2. Step 2: Convert to fraction form
    916.03/1,374.05 = 857.71/x
  3. Step 3: Cross multiply
    916.03x = 1,374.05 × 857.71
  4. Step 4: Simplify right side
    916.03x = 1,178,536.43
  5. Step 5: Solve for x
    x = 1,178,536.43/916.03
  6. Step 6: Final answer
    x = 1,286.57

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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.