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Finding the Fourth Proportional to 1,230.79, 1,697.20 and 951.07

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Solution

The fourth proportional to 1,230.79, 1,697.20 and 951.07 is: 1,311.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,230.79 : 1,697.20 = 951.07 : x
  2. Step 2: Convert to fraction form
    1,230.79/1,697.20 = 951.07/x
  3. Step 3: Cross multiply
    1,230.79x = 1,697.20 × 951.07
  4. Step 4: Simplify right side
    1,230.79x = 1,614,156.00
  5. Step 5: Solve for x
    x = 1,614,156.00/1,230.79
  6. Step 6: Final answer
    x = 1,311.48

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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.