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Finding the Fourth Proportional to 1,094.63, 1,642.24 and 325.13

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Solution

The fourth proportional to 1,094.63, 1,642.24 and 325.13 is: 487.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,094.63 : 1,642.24 = 325.13 : x
  2. Step 2: Convert to fraction form
    1,094.63/1,642.24 = 325.13/x
  3. Step 3: Cross multiply
    1,094.63x = 1,642.24 × 325.13
  4. Step 4: Simplify right side
    1,094.63x = 533,941.49
  5. Step 5: Solve for x
    x = 533,941.49/1,094.63
  6. Step 6: Final answer
    x = 487.78

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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.