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Finding the Fourth Proportional to 1,113.12, 1,669.54 and 333.12

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Solution

The fourth proportional to 1,113.12, 1,669.54 and 333.12 is: 499.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,113.12 : 1,669.54 = 333.12 : x
  2. Step 2: Convert to fraction form
    1,113.12/1,669.54 = 333.12/x
  3. Step 3: Cross multiply
    1,113.12x = 1,669.54 × 333.12
  4. Step 4: Simplify right side
    1,113.12x = 556,157.16
  5. Step 5: Solve for x
    x = 556,157.16/1,113.12
  6. Step 6: Final answer
    x = 499.64

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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.