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Finding the Fourth Proportional to 1,061.75, 1,592.66 and 331.33

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Solution

The fourth proportional to 1,061.75, 1,592.66 and 331.33 is: 497.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,061.75 : 1,592.66 = 331.33 : x
  2. Step 2: Convert to fraction form
    1,061.75/1,592.66 = 331.33/x
  3. Step 3: Cross multiply
    1,061.75x = 1,592.66 × 331.33
  4. Step 4: Simplify right side
    1,061.75x = 527,696.04
  5. Step 5: Solve for x
    x = 527,696.04/1,061.75
  6. Step 6: Final answer
    x = 497.01

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.