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Finding the Fourth Proportional to 1,129.95, 1,694.93 and 308.31

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Solution

The fourth proportional to 1,129.95, 1,694.93 and 308.31 is: 462.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,129.95 : 1,694.93 = 308.31 : x
  2. Step 2: Convert to fraction form
    1,129.95/1,694.93 = 308.31/x
  3. Step 3: Cross multiply
    1,129.95x = 1,694.93 × 308.31
  4. Step 4: Simplify right side
    1,129.95x = 522,555.97
  5. Step 5: Solve for x
    x = 522,555.97/1,129.95
  6. Step 6: Final answer
    x = 462.46

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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.