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Finding the Fourth Proportional to 1,487.76, 2,053.03 and 824.56

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Solution

The fourth proportional to 1,487.76, 2,053.03 and 824.56 is: 1,137.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,487.76 : 2,053.03 = 824.56 : x
  2. Step 2: Convert to fraction form
    1,487.76/2,053.03 = 824.56/x
  3. Step 3: Cross multiply
    1,487.76x = 2,053.03 × 824.56
  4. Step 4: Simplify right side
    1,487.76x = 1,692,846.42
  5. Step 5: Solve for x
    x = 1,692,846.42/1,487.76
  6. Step 6: Final answer
    x = 1,137.85

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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.