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Finding the Fourth Proportional to 1,057.62, 1,586.50 and 364.32

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Solution

The fourth proportional to 1,057.62, 1,586.50 and 364.32 is: 546.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,057.62 : 1,586.50 = 364.32 : x
  2. Step 2: Convert to fraction form
    1,057.62/1,586.50 = 364.32/x
  3. Step 3: Cross multiply
    1,057.62x = 1,586.50 × 364.32
  4. Step 4: Simplify right side
    1,057.62x = 577,993.68
  5. Step 5: Solve for x
    x = 577,993.68/1,057.62
  6. Step 6: Final answer
    x = 546.50

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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.