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Finding the Fourth Proportional to 1,057.50, 1,586.43 and 537.27

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Solution

The fourth proportional to 1,057.50, 1,586.43 and 537.27 is: 806.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,057.50 : 1,586.43 = 537.27 : x
  2. Step 2: Convert to fraction form
    1,057.50/1,586.43 = 537.27/x
  3. Step 3: Cross multiply
    1,057.50x = 1,586.43 × 537.27
  4. Step 4: Simplify right side
    1,057.50x = 852,341.25
  5. Step 5: Solve for x
    x = 852,341.25/1,057.50
  6. Step 6: Final answer
    x = 806.00

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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.