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Finding the Fourth Proportional to 1,057.50, 1,586.10 and 327.06

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Solution

The fourth proportional to 1,057.50, 1,586.10 and 327.06 is: 490.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,057.50 : 1,586.10 = 327.06 : x
  2. Step 2: Convert to fraction form
    1,057.50/1,586.10 = 327.06/x
  3. Step 3: Cross multiply
    1,057.50x = 1,586.10 × 327.06
  4. Step 4: Simplify right side
    1,057.50x = 518,749.87
  5. Step 5: Solve for x
    x = 518,749.87/1,057.50
  6. Step 6: Final answer
    x = 490.54

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Double scale
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1.5x scale

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.