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Finding the Fourth Proportional to 1,312.83, 1,969.32 and 338.91

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Solution

The fourth proportional to 1,312.83, 1,969.32 and 338.91 is: 508.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,312.83 : 1,969.32 = 338.91 : x
  2. Step 2: Convert to fraction form
    1,312.83/1,969.32 = 338.91/x
  3. Step 3: Cross multiply
    1,312.83x = 1,969.32 × 338.91
  4. Step 4: Simplify right side
    1,312.83x = 667,415.17
  5. Step 5: Solve for x
    x = 667,415.17/1,312.83
  6. Step 6: Final answer
    x = 508.38

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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.