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Finding the Fourth Proportional to 1,203.87, 1,804.77 and 473.27

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Solution

The fourth proportional to 1,203.87, 1,804.77 and 473.27 is: 709.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,203.87 : 1,804.77 = 473.27 : x
  2. Step 2: Convert to fraction form
    1,203.87/1,804.77 = 473.27/x
  3. Step 3: Cross multiply
    1,203.87x = 1,804.77 × 473.27
  4. Step 4: Simplify right side
    1,203.87x = 854,148.01
  5. Step 5: Solve for x
    x = 854,148.01/1,203.87
  6. Step 6: Final answer
    x = 709.50

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Double scale
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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.