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Finding the Fourth Proportional to 951.54, 1,427.40 and 694.50

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Solution

The fourth proportional to 951.54, 1,427.40 and 694.50 is: 1,041.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    951.54 : 1,427.40 = 694.50 : x
  2. Step 2: Convert to fraction form
    951.54/1,427.40 = 694.50/x
  3. Step 3: Cross multiply
    951.54x = 1,427.40 × 694.50
  4. Step 4: Simplify right side
    951.54x = 991,329.30
  5. Step 5: Solve for x
    x = 991,329.30/951.54
  6. Step 6: Final answer
    x = 1,041.82

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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.