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Finding the Fourth Proportional to 756.33, 1,043.64 and 424.71

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Solution

The fourth proportional to 756.33, 1,043.64 and 424.71 is: 586.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    756.33 : 1,043.64 = 424.71 : x
  2. Step 2: Convert to fraction form
    756.33/1,043.64 = 424.71/x
  3. Step 3: Cross multiply
    756.33x = 1,043.64 × 424.71
  4. Step 4: Simplify right side
    756.33x = 443,244.34
  5. Step 5: Solve for x
    x = 443,244.34/756.33
  6. Step 6: Final answer
    x = 586.05

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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.