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Finding the Fourth Proportional to 1,260.62, 1,890.28 and 566.70

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Solution

The fourth proportional to 1,260.62, 1,890.28 and 566.70 is: 849.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,260.62 : 1,890.28 = 566.70 : x
  2. Step 2: Convert to fraction form
    1,260.62/1,890.28 = 566.70/x
  3. Step 3: Cross multiply
    1,260.62x = 1,890.28 × 566.70
  4. Step 4: Simplify right side
    1,260.62x = 1,071,212.22
  5. Step 5: Solve for x
    x = 1,071,212.22/1,260.62
  6. Step 6: Final answer
    x = 849.75

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