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Finding the Fourth Proportional to 1,207.02, 1,810.02 and 513.66

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Solution

The fourth proportional to 1,207.02, 1,810.02 and 513.66 is: 770.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,207.02 : 1,810.02 = 513.66 : x
  2. Step 2: Convert to fraction form
    1,207.02/1,810.02 = 513.66/x
  3. Step 3: Cross multiply
    1,207.02x = 1,810.02 × 513.66
  4. Step 4: Simplify right side
    1,207.02x = 929,734.87
  5. Step 5: Solve for x
    x = 929,734.87/1,207.02
  6. Step 6: Final answer
    x = 770.27

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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.