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Finding the Fourth Proportional to 1,054.89, 1,582.57 and 324.53

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Solution

The fourth proportional to 1,054.89, 1,582.57 and 324.53 is: 486.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,054.89 : 1,582.57 = 324.53 : x
  2. Step 2: Convert to fraction form
    1,054.89/1,582.57 = 324.53/x
  3. Step 3: Cross multiply
    1,054.89x = 1,582.57 × 324.53
  4. Step 4: Simplify right side
    1,054.89x = 513,591.44
  5. Step 5: Solve for x
    x = 513,591.44/1,054.89
  6. Step 6: Final answer
    x = 486.87

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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.