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Finding the Fourth Proportional to 756.05, 1,043.38 and 424.48

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Solution

The fourth proportional to 756.05, 1,043.38 and 424.48 is: 585.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    756.05 : 1,043.38 = 424.48 : x
  2. Step 2: Convert to fraction form
    756.05/1,043.38 = 424.48/x
  3. Step 3: Cross multiply
    756.05x = 1,043.38 × 424.48
  4. Step 4: Simplify right side
    756.05x = 442,893.94
  5. Step 5: Solve for x
    x = 442,893.94/756.05
  6. Step 6: Final answer
    x = 585.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.