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Finding the Fourth Proportional to 1,359.58, 2,039.43 and 385.76

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Solution

The fourth proportional to 1,359.58, 2,039.43 and 385.76 is: 578.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,359.58 : 2,039.43 = 385.76 : x
  2. Step 2: Convert to fraction form
    1,359.58/2,039.43 = 385.76/x
  3. Step 3: Cross multiply
    1,359.58x = 2,039.43 × 385.76
  4. Step 4: Simplify right side
    1,359.58x = 786,730.52
  5. Step 5: Solve for x
    x = 786,730.52/1,359.58
  6. Step 6: Final answer
    x = 578.66

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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.