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Finding the Fourth Proportional to 1,260.12, 1,890.42 and 566.77

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Solution

The fourth proportional to 1,260.12, 1,890.42 and 566.77 is: 850.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,260.12 : 1,890.42 = 566.77 : x
  2. Step 2: Convert to fraction form
    1,260.12/1,890.42 = 566.77/x
  3. Step 3: Cross multiply
    1,260.12x = 1,890.42 × 566.77
  4. Step 4: Simplify right side
    1,260.12x = 1,071,430.51
  5. Step 5: Solve for x
    x = 1,071,430.51/1,260.12
  6. Step 6: Final answer
    x = 850.26

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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.