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Finding the Fourth Proportional to 1,054.79, 1,581.98 and 324.17

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Solution

The fourth proportional to 1,054.79, 1,581.98 and 324.17 is: 486.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,054.79 : 1,581.98 = 324.17 : x
  2. Step 2: Convert to fraction form
    1,054.79/1,581.98 = 324.17/x
  3. Step 3: Cross multiply
    1,054.79x = 1,581.98 × 324.17
  4. Step 4: Simplify right side
    1,054.79x = 512,820.93
  5. Step 5: Solve for x
    x = 512,820.93/1,054.79
  6. Step 6: Final answer
    x = 486.19

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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.