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Finding the Fourth Proportional to 1,154, 1,731.04 and 384.56

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Solution

The fourth proportional to 1,154, 1,731.04 and 384.56 is: 576.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,154 : 1,731.04 = 384.56 : x
  2. Step 2: Convert to fraction form
    1,154/1,731.04 = 384.56/x
  3. Step 3: Cross multiply
    1,154x = 1,731.04 × 384.56
  4. Step 4: Simplify right side
    1,154x = 665,688.74
  5. Step 5: Solve for x
    x = 665,688.74/1,154
  6. Step 6: Final answer
    x = 576.85

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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.