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Finding the Fourth Proportional to 1,065, 1,597.52 and 295.52

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Solution

The fourth proportional to 1,065, 1,597.52 and 295.52 is: 443.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,065 : 1,597.52 = 295.52 : x
  2. Step 2: Convert to fraction form
    1,065/1,597.52 = 295.52/x
  3. Step 3: Cross multiply
    1,065x = 1,597.52 × 295.52
  4. Step 4: Simplify right side
    1,065x = 472,099.11
  5. Step 5: Solve for x
    x = 472,099.11/1,065
  6. Step 6: Final answer
    x = 443.29

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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.