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Finding the Fourth Proportional to 1,034.96, 1,428.31 and 569.24

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Solution

The fourth proportional to 1,034.96, 1,428.31 and 569.24 is: 785.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,034.96 : 1,428.31 = 569.24 : x
  2. Step 2: Convert to fraction form
    1,034.96/1,428.31 = 569.24/x
  3. Step 3: Cross multiply
    1,034.96x = 1,428.31 × 569.24
  4. Step 4: Simplify right side
    1,034.96x = 813,042.62
  5. Step 5: Solve for x
    x = 813,042.62/1,034.96
  6. Step 6: Final answer
    x = 785.58

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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.