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Finding the Fourth Proportional to 1,224, 1,690.56 and 830.34

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Solution

The fourth proportional to 1,224, 1,690.56 and 830.34 is: 1,146.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,224 : 1,690.56 = 830.34 : x
  2. Step 2: Convert to fraction form
    1,224/1,690.56 = 830.34/x
  3. Step 3: Cross multiply
    1,224x = 1,690.56 × 830.34
  4. Step 4: Simplify right side
    1,224x = 1,403,739.59
  5. Step 5: Solve for x
    x = 1,403,739.59/1,224
  6. Step 6: Final answer
    x = 1,146.85

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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.