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Finding the Fourth Proportional to 1,091.04, 1,636.56 and 407.04

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Solution

The fourth proportional to 1,091.04, 1,636.56 and 407.04 is: 610.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,091.04 : 1,636.56 = 407.04 : x
  2. Step 2: Convert to fraction form
    1,091.04/1,636.56 = 407.04/x
  3. Step 3: Cross multiply
    1,091.04x = 1,636.56 × 407.04
  4. Step 4: Simplify right side
    1,091.04x = 666,145.38
  5. Step 5: Solve for x
    x = 666,145.38/1,091.04
  6. Step 6: Final answer
    x = 610.56

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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.