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Finding the Fourth Proportional to 1,207.37, 1,810.70 and 514.03

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Solution

The fourth proportional to 1,207.37, 1,810.70 and 514.03 is: 770.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,207.37 : 1,810.70 = 514.03 : x
  2. Step 2: Convert to fraction form
    1,207.37/1,810.70 = 514.03/x
  3. Step 3: Cross multiply
    1,207.37x = 1,810.70 × 514.03
  4. Step 4: Simplify right side
    1,207.37x = 930,754.12
  5. Step 5: Solve for x
    x = 930,754.12/1,207.37
  6. Step 6: Final answer
    x = 770.89

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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.