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Finding the Fourth Proportional to 1,033.35, 1,550.69 and 384.06

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Solution

The fourth proportional to 1,033.35, 1,550.69 and 384.06 is: 576.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,033.35 : 1,550.69 = 384.06 : x
  2. Step 2: Convert to fraction form
    1,033.35/1,550.69 = 384.06/x
  3. Step 3: Cross multiply
    1,033.35x = 1,550.69 × 384.06
  4. Step 4: Simplify right side
    1,033.35x = 595,558.00
  5. Step 5: Solve for x
    x = 595,558.00/1,033.35
  6. Step 6: Final answer
    x = 576.34

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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.