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Finding the Fourth Proportional to 1,057.61, 1,585.94 and 327.26

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Solution

The fourth proportional to 1,057.61, 1,585.94 and 327.26 is: 490.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,057.61 : 1,585.94 = 327.26 : x
  2. Step 2: Convert to fraction form
    1,057.61/1,585.94 = 327.26/x
  3. Step 3: Cross multiply
    1,057.61x = 1,585.94 × 327.26
  4. Step 4: Simplify right side
    1,057.61x = 519,005.16
  5. Step 5: Solve for x
    x = 519,005.16/1,057.61
  6. Step 6: Final answer
    x = 490.74

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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.