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Finding the Fourth Proportional to 1,156.13, 1,734.20 and 386.63

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Solution

The fourth proportional to 1,156.13, 1,734.20 and 386.63 is: 579.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,156.13 : 1,734.20 = 386.63 : x
  2. Step 2: Convert to fraction form
    1,156.13/1,734.20 = 386.63/x
  3. Step 3: Cross multiply
    1,156.13x = 1,734.20 × 386.63
  4. Step 4: Simplify right side
    1,156.13x = 670,493.75
  5. Step 5: Solve for x
    x = 670,493.75/1,156.13
  6. Step 6: Final answer
    x = 579.95

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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.