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Finding the Fourth Proportional to 1,033.39, 1,548.77 and 484.36

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Solution

The fourth proportional to 1,033.39, 1,548.77 and 484.36 is: 725.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,033.39 : 1,548.77 = 484.36 : x
  2. Step 2: Convert to fraction form
    1,033.39/1,548.77 = 484.36/x
  3. Step 3: Cross multiply
    1,033.39x = 1,548.77 × 484.36
  4. Step 4: Simplify right side
    1,033.39x = 750,159.82
  5. Step 5: Solve for x
    x = 750,159.82/1,033.39
  6. Step 6: Final answer
    x = 725.92

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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.