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Finding the Fourth Proportional to 1,207.34, 1,811.22 and 385.53

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Solution

The fourth proportional to 1,207.34, 1,811.22 and 385.53 is: 578.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,207.34 : 1,811.22 = 385.53 : x
  2. Step 2: Convert to fraction form
    1,207.34/1,811.22 = 385.53/x
  3. Step 3: Cross multiply
    1,207.34x = 1,811.22 × 385.53
  4. Step 4: Simplify right side
    1,207.34x = 698,279.65
  5. Step 5: Solve for x
    x = 698,279.65/1,207.34
  6. Step 6: Final answer
    x = 578.36

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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.