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Finding the Fourth Proportional to 756.39, 1,043.54 and 457.71

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Solution

The fourth proportional to 756.39, 1,043.54 and 457.71 is: 631.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    756.39 : 1,043.54 = 457.71 : x
  2. Step 2: Convert to fraction form
    756.39/1,043.54 = 457.71/x
  3. Step 3: Cross multiply
    756.39x = 1,043.54 × 457.71
  4. Step 4: Simplify right side
    756.39x = 477,638.69
  5. Step 5: Solve for x
    x = 477,638.69/756.39
  6. Step 6: Final answer
    x = 631.47

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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.