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Finding the Fourth Proportional to 1,094.56, 1,642.08 and 325.12

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Solution

The fourth proportional to 1,094.56, 1,642.08 and 325.12 is: 487.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,094.56 : 1,642.08 = 325.12 : x
  2. Step 2: Convert to fraction form
    1,094.56/1,642.08 = 325.12/x
  3. Step 3: Cross multiply
    1,094.56x = 1,642.08 × 325.12
  4. Step 4: Simplify right side
    1,094.56x = 533,873.05
  5. Step 5: Solve for x
    x = 533,873.05/1,094.56
  6. Step 6: Final answer
    x = 487.75

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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.