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Finding the Fourth Proportional to 1,103.77, 1,655.52 and 454.42

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Solution

The fourth proportional to 1,103.77, 1,655.52 and 454.42 is: 681.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,103.77 : 1,655.52 = 454.42 : x
  2. Step 2: Convert to fraction form
    1,103.77/1,655.52 = 454.42/x
  3. Step 3: Cross multiply
    1,103.77x = 1,655.52 × 454.42
  4. Step 4: Simplify right side
    1,103.77x = 752,301.40
  5. Step 5: Solve for x
    x = 752,301.40/1,103.77
  6. Step 6: Final answer
    x = 681.57

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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.