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Finding the Fourth Proportional to 1,104.45, 1,655.64 and 410.94

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Solution

The fourth proportional to 1,104.45, 1,655.64 and 410.94 is: 616.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,104.45 : 1,655.64 = 410.94 : x
  2. Step 2: Convert to fraction form
    1,104.45/1,655.64 = 410.94/x
  3. Step 3: Cross multiply
    1,104.45x = 1,655.64 × 410.94
  4. Step 4: Simplify right side
    1,104.45x = 680,368.70
  5. Step 5: Solve for x
    x = 680,368.70/1,104.45
  6. Step 6: Final answer
    x = 616.02

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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.