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Finding the Fourth Proportional to 1,207.14, 1,810.14 and 385.20

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Solution

The fourth proportional to 1,207.14, 1,810.14 and 385.20 is: 577.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,207.14 : 1,810.14 = 385.20 : x
  2. Step 2: Convert to fraction form
    1,207.14/1,810.14 = 385.20/x
  3. Step 3: Cross multiply
    1,207.14x = 1,810.14 × 385.20
  4. Step 4: Simplify right side
    1,207.14x = 697,265.93
  5. Step 5: Solve for x
    x = 697,265.93/1,207.14
  6. Step 6: Final answer
    x = 577.62

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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.