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Finding the Fourth Proportional to 1,156.28, 1,734.54 and 376.38

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Solution

The fourth proportional to 1,156.28, 1,734.54 and 376.38 is: 564.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,156.28 : 1,734.54 = 376.38 : x
  2. Step 2: Convert to fraction form
    1,156.28/1,734.54 = 376.38/x
  3. Step 3: Cross multiply
    1,156.28x = 1,734.54 × 376.38
  4. Step 4: Simplify right side
    1,156.28x = 652,846.17
  5. Step 5: Solve for x
    x = 652,846.17/1,156.28
  6. Step 6: Final answer
    x = 564.61

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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.