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Finding the Fourth Proportional to 1,033.59, 1,550.37 and 384.31

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Solution

The fourth proportional to 1,033.59, 1,550.37 and 384.31 is: 576.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,033.59 : 1,550.37 = 384.31 : x
  2. Step 2: Convert to fraction form
    1,033.59/1,550.37 = 384.31/x
  3. Step 3: Cross multiply
    1,033.59x = 1,550.37 × 384.31
  4. Step 4: Simplify right side
    1,033.59x = 595,822.69
  5. Step 5: Solve for x
    x = 595,822.69/1,033.59
  6. Step 6: Final answer
    x = 576.46

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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.