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Finding the Fourth Proportional to 1,100.10, 1,649.70 and 522.57

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Solution

The fourth proportional to 1,100.10, 1,649.70 and 522.57 is: 783.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,100.10 : 1,649.70 = 522.57 : x
  2. Step 2: Convert to fraction form
    1,100.10/1,649.70 = 522.57/x
  3. Step 3: Cross multiply
    1,100.10x = 1,649.70 × 522.57
  4. Step 4: Simplify right side
    1,100.10x = 862,083.73
  5. Step 5: Solve for x
    x = 862,083.73/1,100.10
  6. Step 6: Final answer
    x = 783.64

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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.