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Finding the Fourth Proportional to 1,057.88, 1,586.82 and 288.38

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Solution

The fourth proportional to 1,057.88, 1,586.82 and 288.38 is: 432.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,057.88 : 1,586.82 = 288.38 : x
  2. Step 2: Convert to fraction form
    1,057.88/1,586.82 = 288.38/x
  3. Step 3: Cross multiply
    1,057.88x = 1,586.82 × 288.38
  4. Step 4: Simplify right side
    1,057.88x = 457,599.22
  5. Step 5: Solve for x
    x = 457,599.22/1,057.88
  6. Step 6: Final answer
    x = 432.56

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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.