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Finding the Fourth Proportional to 1,103.25, 1,522.50 and 637.77

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Solution

The fourth proportional to 1,103.25, 1,522.50 and 637.77 is: 880.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,103.25 : 1,522.50 = 637.77 : x
  2. Step 2: Convert to fraction form
    1,103.25/1,522.50 = 637.77/x
  3. Step 3: Cross multiply
    1,103.25x = 1,522.50 × 637.77
  4. Step 4: Simplify right side
    1,103.25x = 971,004.83
  5. Step 5: Solve for x
    x = 971,004.83/1,103.25
  6. Step 6: Final answer
    x = 880.13

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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.