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Finding the Fourth Proportional to 1,103.72, 1,655.59 and 410.57

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Solution

The fourth proportional to 1,103.72, 1,655.59 and 410.57 is: 615.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,103.72 : 1,655.59 = 410.57 : x
  2. Step 2: Convert to fraction form
    1,103.72/1,655.59 = 410.57/x
  3. Step 3: Cross multiply
    1,103.72x = 1,655.59 × 410.57
  4. Step 4: Simplify right side
    1,103.72x = 679,729.39
  5. Step 5: Solve for x
    x = 679,729.39/1,103.72
  6. Step 6: Final answer
    x = 615.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.