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Finding the Fourth Proportional to 1,103.14, 1,522.10 and 771.46

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Solution

The fourth proportional to 1,103.14, 1,522.10 and 771.46 is: 1,064.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,103.14 : 1,522.10 = 771.46 : x
  2. Step 2: Convert to fraction form
    1,103.14/1,522.10 = 771.46/x
  3. Step 3: Cross multiply
    1,103.14x = 1,522.10 × 771.46
  4. Step 4: Simplify right side
    1,103.14x = 1,174,239.27
  5. Step 5: Solve for x
    x = 1,174,239.27/1,103.14
  6. Step 6: Final answer
    x = 1,064.45

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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.