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Finding the Fourth Proportional to 1,072.29, 1,608.53 and 292.29

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Solution

The fourth proportional to 1,072.29, 1,608.53 and 292.29 is: 438.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,072.29 : 1,608.53 = 292.29 : x
  2. Step 2: Convert to fraction form
    1,072.29/1,608.53 = 292.29/x
  3. Step 3: Cross multiply
    1,072.29x = 1,608.53 × 292.29
  4. Step 4: Simplify right side
    1,072.29x = 470,155.77
  5. Step 5: Solve for x
    x = 470,155.77/1,072.29
  6. Step 6: Final answer
    x = 438.46

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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.