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Finding the Fourth Proportional to 1,104.01, 1,655.76 and 446.38

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Solution

The fourth proportional to 1,104.01, 1,655.76 and 446.38 is: 669.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,104.01 : 1,655.76 = 446.38 : x
  2. Step 2: Convert to fraction form
    1,104.01/1,655.76 = 446.38/x
  3. Step 3: Cross multiply
    1,104.01x = 1,655.76 × 446.38
  4. Step 4: Simplify right side
    1,104.01x = 739,098.15
  5. Step 5: Solve for x
    x = 739,098.15/1,104.01
  6. Step 6: Final answer
    x = 669.47

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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.