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Finding the Fourth Proportional to 1,029.49, 1,422.16 and 830.03

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Solution

The fourth proportional to 1,029.49, 1,422.16 and 830.03 is: 1,146.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,029.49 : 1,422.16 = 830.03 : x
  2. Step 2: Convert to fraction form
    1,029.49/1,422.16 = 830.03/x
  3. Step 3: Cross multiply
    1,029.49x = 1,422.16 × 830.03
  4. Step 4: Simplify right side
    1,029.49x = 1,180,426.28
  5. Step 5: Solve for x
    x = 1,180,426.28/1,029.49
  6. Step 6: Final answer
    x = 1,146.62

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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.