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Finding the Fourth Proportional to 727.85, 1,090.76 and 522.51

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Solution

The fourth proportional to 727.85, 1,090.76 and 522.51 is: 783.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    727.85 : 1,090.76 = 522.51 : x
  2. Step 2: Convert to fraction form
    727.85/1,090.76 = 522.51/x
  3. Step 3: Cross multiply
    727.85x = 1,090.76 × 522.51
  4. Step 4: Simplify right side
    727.85x = 569,930.40
  5. Step 5: Solve for x
    x = 569,930.40/727.85
  6. Step 6: Final answer
    x = 783.04

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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.