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Finding the Fourth Proportional to 1,495.77, 2,243.09 and 571.08

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Solution

The fourth proportional to 1,495.77, 2,243.09 and 571.08 is: 856.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,495.77 : 2,243.09 = 571.08 : x
  2. Step 2: Convert to fraction form
    1,495.77/2,243.09 = 571.08/x
  3. Step 3: Cross multiply
    1,495.77x = 2,243.09 × 571.08
  4. Step 4: Simplify right side
    1,495.77x = 1,280,993.68
  5. Step 5: Solve for x
    x = 1,280,993.68/1,495.77
  6. Step 6: Final answer
    x = 856.41

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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.