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Finding the Fourth Proportional to 756.16, 1,043.76 and 522.88

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Solution

The fourth proportional to 756.16, 1,043.76 and 522.88 is: 721.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    756.16 : 1,043.76 = 522.88 : x
  2. Step 2: Convert to fraction form
    756.16/1,043.76 = 522.88/x
  3. Step 3: Cross multiply
    756.16x = 1,043.76 × 522.88
  4. Step 4: Simplify right side
    756.16x = 545,761.23
  5. Step 5: Solve for x
    x = 545,761.23/756.16
  6. Step 6: Final answer
    x = 721.75

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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.