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Finding the Fourth Proportional to 1,054.56, 1,581.70 and 324.08

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Solution

The fourth proportional to 1,054.56, 1,581.70 and 324.08 is: 486.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,054.56 : 1,581.70 = 324.08 : x
  2. Step 2: Convert to fraction form
    1,054.56/1,581.70 = 324.08/x
  3. Step 3: Cross multiply
    1,054.56x = 1,581.70 × 324.08
  4. Step 4: Simplify right side
    1,054.56x = 512,588.62
  5. Step 5: Solve for x
    x = 512,588.62/1,054.56
  6. Step 6: Final answer
    x = 486.07

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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.