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Finding the Fourth Proportional to 1,312.97, 1,969.46 and 339.07

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Solution

The fourth proportional to 1,312.97, 1,969.46 and 339.07 is: 508.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,312.97 : 1,969.46 = 339.07 : x
  2. Step 2: Convert to fraction form
    1,312.97/1,969.46 = 339.07/x
  3. Step 3: Cross multiply
    1,312.97x = 1,969.46 × 339.07
  4. Step 4: Simplify right side
    1,312.97x = 667,778.18
  5. Step 5: Solve for x
    x = 667,778.18/1,312.97
  6. Step 6: Final answer
    x = 508.60

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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.