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Finding the Fourth Proportional to 1,065.31, 1,597.96 and 295.81

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Solution

The fourth proportional to 1,065.31, 1,597.96 and 295.81 is: 443.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,065.31 : 1,597.96 = 295.81 : x
  2. Step 2: Convert to fraction form
    1,065.31/1,597.96 = 295.81/x
  3. Step 3: Cross multiply
    1,065.31x = 1,597.96 × 295.81
  4. Step 4: Simplify right side
    1,065.31x = 472,687.81
  5. Step 5: Solve for x
    x = 472,687.81/1,065.31
  6. Step 6: Final answer
    x = 443.71

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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.