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Finding the Fourth Proportional to 1,207.14, 1,810.74 and 720.60

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Solution

The fourth proportional to 1,207.14, 1,810.74 and 720.60 is: 1,080.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,207.14 : 1,810.74 = 720.60 : x
  2. Step 2: Convert to fraction form
    1,207.14/1,810.74 = 720.60/x
  3. Step 3: Cross multiply
    1,207.14x = 1,810.74 × 720.60
  4. Step 4: Simplify right side
    1,207.14x = 1,304,819.24
  5. Step 5: Solve for x
    x = 1,304,819.24/1,207.14
  6. Step 6: Final answer
    x = 1,080.92

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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.