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Finding the Fourth Proportional to 1,054.35, 1,581.59 and 323.87

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Solution

The fourth proportional to 1,054.35, 1,581.59 and 323.87 is: 485.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,054.35 : 1,581.59 = 323.87 : x
  2. Step 2: Convert to fraction form
    1,054.35/1,581.59 = 323.87/x
  3. Step 3: Cross multiply
    1,054.35x = 1,581.59 × 323.87
  4. Step 4: Simplify right side
    1,054.35x = 512,222.46
  5. Step 5: Solve for x
    x = 512,222.46/1,054.35
  6. Step 6: Final answer
    x = 485.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.