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Finding the Fourth Proportional to 1,156.80, 1,734.10 and 386.76

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Solution

The fourth proportional to 1,156.80, 1,734.10 and 386.76 is: 579.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,156.80 : 1,734.10 = 386.76 : x
  2. Step 2: Convert to fraction form
    1,156.80/1,734.10 = 386.76/x
  3. Step 3: Cross multiply
    1,156.80x = 1,734.10 × 386.76
  4. Step 4: Simplify right side
    1,156.80x = 670,680.52
  5. Step 5: Solve for x
    x = 670,680.52/1,156.80
  6. Step 6: Final answer
    x = 579.77

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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.