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Finding the Fourth Proportional to 1,207.14, 1,810.84 and 385.54

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Solution

The fourth proportional to 1,207.14, 1,810.84 and 385.54 is: 578.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,207.14 : 1,810.84 = 385.54 : x
  2. Step 2: Convert to fraction form
    1,207.14/1,810.84 = 385.54/x
  3. Step 3: Cross multiply
    1,207.14x = 1,810.84 × 385.54
  4. Step 4: Simplify right side
    1,207.14x = 698,151.25
  5. Step 5: Solve for x
    x = 698,151.25/1,207.14
  6. Step 6: Final answer
    x = 578.35

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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.