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Finding the Fourth Proportional to 1,544.17, 2,316.62 and 504.28

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Solution

The fourth proportional to 1,544.17, 2,316.62 and 504.28 is: 756.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,544.17 : 2,316.62 = 504.28 : x
  2. Step 2: Convert to fraction form
    1,544.17/2,316.62 = 504.28/x
  3. Step 3: Cross multiply
    1,544.17x = 2,316.62 × 504.28
  4. Step 4: Simplify right side
    1,544.17x = 1,168,225.13
  5. Step 5: Solve for x
    x = 1,168,225.13/1,544.17
  6. Step 6: Final answer
    x = 756.54

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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.