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Finding the Fourth Proportional to 1,204.04, 1,805.42 and 587.80

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Solution

The fourth proportional to 1,204.04, 1,805.42 and 587.80 is: 881.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,204.04 : 1,805.42 = 587.80 : x
  2. Step 2: Convert to fraction form
    1,204.04/1,805.42 = 587.80/x
  3. Step 3: Cross multiply
    1,204.04x = 1,805.42 × 587.80
  4. Step 4: Simplify right side
    1,204.04x = 1,061,225.88
  5. Step 5: Solve for x
    x = 1,061,225.88/1,204.04
  6. Step 6: Final answer
    x = 881.39

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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.