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Finding the Fourth Proportional to 1,224.28, 1,688.70 and 757.72

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Solution

The fourth proportional to 1,224.28, 1,688.70 and 757.72 is: 1,045.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,224.28 : 1,688.70 = 757.72 : x
  2. Step 2: Convert to fraction form
    1,224.28/1,688.70 = 757.72/x
  3. Step 3: Cross multiply
    1,224.28x = 1,688.70 × 757.72
  4. Step 4: Simplify right side
    1,224.28x = 1,279,561.76
  5. Step 5: Solve for x
    x = 1,279,561.76/1,224.28
  6. Step 6: Final answer
    x = 1,045.15

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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.