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Finding the Fourth Proportional to 951.20, 1,309.74 and 715.50

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Solution

The fourth proportional to 951.20, 1,309.74 and 715.50 is: 985.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    951.20 : 1,309.74 = 715.50 : x
  2. Step 2: Convert to fraction form
    951.20/1,309.74 = 715.50/x
  3. Step 3: Cross multiply
    951.20x = 1,309.74 × 715.50
  4. Step 4: Simplify right side
    951.20x = 937,118.97
  5. Step 5: Solve for x
    x = 937,118.97/951.20
  6. Step 6: Final answer
    x = 985.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.