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Finding the Fourth Proportional to 1,034.70, 1,427.94 and 568.98

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Solution

The fourth proportional to 1,034.70, 1,427.94 and 568.98 is: 785.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,034.70 : 1,427.94 = 568.98 : x
  2. Step 2: Convert to fraction form
    1,034.70/1,427.94 = 568.98/x
  3. Step 3: Cross multiply
    1,034.70x = 1,427.94 × 568.98
  4. Step 4: Simplify right side
    1,034.70x = 812,469.30
  5. Step 5: Solve for x
    x = 812,469.30/1,034.70
  6. Step 6: Final answer
    x = 785.22

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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.