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Finding the Fourth Proportional to 916.82, 1,372.14 and 840.95

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Solution

The fourth proportional to 916.82, 1,372.14 and 840.95 is: 1,258.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    916.82 : 1,372.14 = 840.95 : x
  2. Step 2: Convert to fraction form
    916.82/1,372.14 = 840.95/x
  3. Step 3: Cross multiply
    916.82x = 1,372.14 × 840.95
  4. Step 4: Simplify right side
    916.82x = 1,153,899.42
  5. Step 5: Solve for x
    x = 1,153,899.42/916.82
  6. Step 6: Final answer
    x = 1,258.59

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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.