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Finding the Fourth Proportional to 1,033.53, 1,550.30 and 456.81

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Solution

The fourth proportional to 1,033.53, 1,550.30 and 456.81 is: 685.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,033.53 : 1,550.30 = 456.81 : x
  2. Step 2: Convert to fraction form
    1,033.53/1,550.30 = 456.81/x
  3. Step 3: Cross multiply
    1,033.53x = 1,550.30 × 456.81
  4. Step 4: Simplify right side
    1,033.53x = 708,190.26
  5. Step 5: Solve for x
    x = 708,190.26/1,033.53
  6. Step 6: Final answer
    x = 685.22

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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.