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Finding the Fourth Proportional to 1,168.01, 1,752.02 and 302.25

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Solution

The fourth proportional to 1,168.01, 1,752.02 and 302.25 is: 453.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,168.01 : 1,752.02 = 302.25 : x
  2. Step 2: Convert to fraction form
    1,168.01/1,752.02 = 302.25/x
  3. Step 3: Cross multiply
    1,168.01x = 1,752.02 × 302.25
  4. Step 4: Simplify right side
    1,168.01x = 529,546.53
  5. Step 5: Solve for x
    x = 529,546.53/1,168.01
  6. Step 6: Final answer
    x = 453.38

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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.