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Finding the Fourth Proportional to 951.40, 1,424.98 and 928.14

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Solution

The fourth proportional to 951.40, 1,424.98 and 928.14 is: 1,390.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    951.40 : 1,424.98 = 928.14 : x
  2. Step 2: Convert to fraction form
    951.40/1,424.98 = 928.14/x
  3. Step 3: Cross multiply
    951.40x = 1,424.98 × 928.14
  4. Step 4: Simplify right side
    951.40x = 1,322,580.94
  5. Step 5: Solve for x
    x = 1,322,580.94/951.40
  6. Step 6: Final answer
    x = 1,390.14

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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.