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Finding the Fourth Proportional to 1,054.69, 1,581.46 and 324.07

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Solution

The fourth proportional to 1,054.69, 1,581.46 and 324.07 is: 485.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,054.69 : 1,581.46 = 324.07 : x
  2. Step 2: Convert to fraction form
    1,054.69/1,581.46 = 324.07/x
  3. Step 3: Cross multiply
    1,054.69x = 1,581.46 × 324.07
  4. Step 4: Simplify right side
    1,054.69x = 512,503.74
  5. Step 5: Solve for x
    x = 512,503.74/1,054.69
  6. Step 6: Final answer
    x = 485.93

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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.