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Finding the Fourth Proportional to 1,428.52, 2,142.60 and 562.90

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Solution

The fourth proportional to 1,428.52, 2,142.60 and 562.90 is: 844.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,428.52 : 2,142.60 = 562.90 : x
  2. Step 2: Convert to fraction form
    1,428.52/2,142.60 = 562.90/x
  3. Step 3: Cross multiply
    1,428.52x = 2,142.60 × 562.90
  4. Step 4: Simplify right side
    1,428.52x = 1,206,069.54
  5. Step 5: Solve for x
    x = 1,206,069.54/1,428.52
  6. Step 6: Final answer
    x = 844.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.