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Finding the Fourth Proportional to 1,156.38, 1,734.54 and 376.44

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Solution

The fourth proportional to 1,156.38, 1,734.54 and 376.44 is: 564.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,156.38 : 1,734.54 = 376.44 : x
  2. Step 2: Convert to fraction form
    1,156.38/1,734.54 = 376.44/x
  3. Step 3: Cross multiply
    1,156.38x = 1,734.54 × 376.44
  4. Step 4: Simplify right side
    1,156.38x = 652,950.24
  5. Step 5: Solve for x
    x = 652,950.24/1,156.38
  6. Step 6: Final answer
    x = 564.65

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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.