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Finding the Fourth Proportional to 1,100.04, 1,649.58 and 855.96

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Solution

The fourth proportional to 1,100.04, 1,649.58 and 855.96 is: 1,283.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,100.04 : 1,649.58 = 855.96 : x
  2. Step 2: Convert to fraction form
    1,100.04/1,649.58 = 855.96/x
  3. Step 3: Cross multiply
    1,100.04x = 1,649.58 × 855.96
  4. Step 4: Simplify right side
    1,100.04x = 1,411,974.50
  5. Step 5: Solve for x
    x = 1,411,974.50/1,100.04
  6. Step 6: Final answer
    x = 1,283.57

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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.