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Finding the Fourth Proportional to 1,156.17, 1,734.35 and 376.24

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Solution

The fourth proportional to 1,156.17, 1,734.35 and 376.24 is: 564.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,156.17 : 1,734.35 = 376.24 : x
  2. Step 2: Convert to fraction form
    1,156.17/1,734.35 = 376.24/x
  3. Step 3: Cross multiply
    1,156.17x = 1,734.35 × 376.24
  4. Step 4: Simplify right side
    1,156.17x = 652,531.84
  5. Step 5: Solve for x
    x = 652,531.84/1,156.17
  6. Step 6: Final answer
    x = 564.39

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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.