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Finding the Fourth Proportional to 1,544.16, 2,316.60 and 504.21

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Solution

The fourth proportional to 1,544.16, 2,316.60 and 504.21 is: 756.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,544.16 : 2,316.60 = 504.21 : x
  2. Step 2: Convert to fraction form
    1,544.16/2,316.60 = 504.21/x
  3. Step 3: Cross multiply
    1,544.16x = 2,316.60 × 504.21
  4. Step 4: Simplify right side
    1,544.16x = 1,168,052.89
  5. Step 5: Solve for x
    x = 1,168,052.89/1,544.16
  6. Step 6: Final answer
    x = 756.43

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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.