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Finding the Fourth Proportional to 1,209, 1,812.15 and 515.46

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Solution

The fourth proportional to 1,209, 1,812.15 and 515.46 is: 772.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,209 : 1,812.15 = 515.46 : x
  2. Step 2: Convert to fraction form
    1,209/1,812.15 = 515.46/x
  3. Step 3: Cross multiply
    1,209x = 1,812.15 × 515.46
  4. Step 4: Simplify right side
    1,209x = 934,090.84
  5. Step 5: Solve for x
    x = 934,090.84/1,209
  6. Step 6: Final answer
    x = 772.61

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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.