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Finding the Fourth Proportional to 1,487.14, 2,052.26 and 824.00

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Solution

The fourth proportional to 1,487.14, 2,052.26 and 824.00 is: 1,137.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,487.14 : 2,052.26 = 824.00 : x
  2. Step 2: Convert to fraction form
    1,487.14/2,052.26 = 824.00/x
  3. Step 3: Cross multiply
    1,487.14x = 2,052.26 × 824.00
  4. Step 4: Simplify right side
    1,487.14x = 1,691,069.43
  5. Step 5: Solve for x
    x = 1,691,069.43/1,487.14
  6. Step 6: Final answer
    x = 1,137.13

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.