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Finding the Fourth Proportional to 1,312.45, 1,969.02 and 387.97

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Solution

The fourth proportional to 1,312.45, 1,969.02 and 387.97 is: 582.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,312.45 : 1,969.02 = 387.97 : x
  2. Step 2: Convert to fraction form
    1,312.45/1,969.02 = 387.97/x
  3. Step 3: Cross multiply
    1,312.45x = 1,969.02 × 387.97
  4. Step 4: Simplify right side
    1,312.45x = 763,918.75
  5. Step 5: Solve for x
    x = 763,918.75/1,312.45
  6. Step 6: Final answer
    x = 582.06

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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.