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Finding the Fourth Proportional to 1,487.44, 2,052.63 and 824.28

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Solution

The fourth proportional to 1,487.44, 2,052.63 and 824.28 is: 1,137.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,487.44 : 2,052.63 = 824.28 : x
  2. Step 2: Convert to fraction form
    1,487.44/2,052.63 = 824.28/x
  3. Step 3: Cross multiply
    1,487.44x = 2,052.63 × 824.28
  4. Step 4: Simplify right side
    1,487.44x = 1,691,941.86
  5. Step 5: Solve for x
    x = 1,691,941.86/1,487.44
  6. Step 6: Final answer
    x = 1,137.49

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Why These Related Problems?

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