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Finding the Fourth Proportional to 1,156.52, 1,734.35 and 376.33

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Solution

The fourth proportional to 1,156.52, 1,734.35 and 376.33 is: 564.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,156.52 : 1,734.35 = 376.33 : x
  2. Step 2: Convert to fraction form
    1,156.52/1,734.35 = 376.33/x
  3. Step 3: Cross multiply
    1,156.52x = 1,734.35 × 376.33
  4. Step 4: Simplify right side
    1,156.52x = 652,684.54
  5. Step 5: Solve for x
    x = 652,684.54/1,156.52
  6. Step 6: Final answer
    x = 564.35

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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.